TSTP Solution File: ITP382_10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP382_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:15:10 EDT 2024
% Result : Satisfiable 48.73s 7.35s
% Output : FiniteModel 48.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP382_10 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:17:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (29097)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29124)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.42 % (29126)WARNING: value z3 for option sas not known
% 0.22/0.42 % (29125)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.42 % (29126)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.42 % (29129)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.42 % (29130)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.42 % (29131)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.42 % (29127)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 2.24/0.74 TRYING [1]
% 2.24/0.76 TRYING [2]
% 5.64/1.18 TRYING [3]
% 6.65/1.38 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 6.65/1.38 Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,2,max,max]
% 6.65/1.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 7.01/1.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 7.01/1.39 TRYING [1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 7.01/1.40 TRYING [1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 7.01/1.43 TRYING [2,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 7.60/1.47 TRYING [3,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 8.21/1.56 TRYING [4,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 9.11/1.73 TRYING [3,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 9.86/1.83 TRYING [4,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 11.07/2.00 TRYING [3,1,1,3,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 11.98/2.12 TRYING [3,1,1,2,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 11.98/2.12 TRYING [4]
% 12.82/2.21 TRYING [3,1,1,2,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 13.26/2.32 TRYING [3,1,1,2,1,1,3,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 14.17/2.42 TRYING [3,1,1,2,1,1,2,1,1,3,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 14.45/2.52 TRYING [3,1,1,2,1,1,2,1,1,2,2,1,1,1,1,2,1,1,1,1,2,1,1]
% 15.53/2.63 TRYING [4,1,1,2,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 16.54/2.81 TRYING [3,1,1,3,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 17.70/2.93 TRYING [3,1,1,2,1,1,1,1,1,4,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 18.55/3.04 TRYING [3,1,1,2,1,1,4,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 19.22/3.15 TRYING [3,1,1,2,1,2,2,1,1,2,2,1,1,1,1,2,1,1,1,1,2,1,1]
% 20.28/3.28 TRYING [3,1,1,3,1,1,2,1,1,3,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 20.64/3.38 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 20.64/3.38 Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,2,max,max]
% 20.64/3.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 20.64/3.40 TRYING [3,1,1,2,1,1,2,1,1,4,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 20.64/3.43 TRYING [1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 21.91/3.51 TRYING [1,2,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 21.91/3.52 TRYING [4,1,1,2,1,1,1,1,1,4,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 22.42/3.58 TRYING [1,2,1,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 23.05/3.68 TRYING [1,2,1,1,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 23.35/3.72 TRYING [3,1,1,2,1,1,1,1,1,5,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 23.40/3.80 TRYING [1,3,1,1,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 24.00/3.85 TRYING [4,1,1,2,1,2,2,1,1,2,2,1,1,1,1,2,1,1,1,1,2,1,1]
% 25.14/3.98 TRYING [1,3,1,1,2,1,2,1,1,3,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 25.60/4.07 TRYING [3,1,1,2,1,1,4,1,1,2,3,1,1,1,1,1,1,1,1,1,2,1,1]
% 26.17/4.16 TRYING [1,3,1,1,2,1,2,1,1,3,3,1,1,1,1,1,1,1,1,1,2,1,1]
% 26.59/4.21 TRYING [4,1,1,2,1,1,2,1,1,4,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 28.26/4.46 TRYING [1,3,1,1,3,1,2,1,1,3,3,1,1,1,1,1,1,1,1,1,2,1,1]
% 28.69/4.55 TRYING [3,1,1,2,1,1,2,1,1,4,3,1,1,1,1,1,1,1,1,1,2,1,1]
% 30.67/4.76 TRYING [4,1,1,2,1,1,1,1,1,5,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 31.22/4.86 TRYING [1,4,1,1,3,1,2,1,1,3,4,1,1,1,1,1,1,1,1,1,2,1,1]
% 32.75/5.12 TRYING [4,1,1,2,1,1,4,1,1,2,3,1,1,1,1,1,1,1,1,1,2,1,1]
% 35.39/5.47 TRYING [3,1,1,3,1,1,4,1,1,2,3,1,1,1,1,1,1,1,1,1,2,1,1]
% 36.22/5.59 TRYING [1,4,1,1,3,1,2,1,1,3,4,1,1,1,1,1,1,1,2,1,2,1,1]
% 37.17/5.70 TRYING [3,1,1,3,1,1,2,1,1,4,3,1,1,1,1,1,1,1,1,1,2,1,1]
% 38.87/5.95 TRYING [4,1,1,3,1,1,2,1,1,3,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 41.39/6.30 TRYING [1,4,1,1,3,1,2,1,1,3,4,1,1,1,1,1,1,1,3,1,2,1,1]
% 41.39/6.31 TRYING [4,1,1,3,1,1,2,1,1,4,3,1,1,1,1,1,1,1,1,1,2,1,1]
% 43.93/6.66 TRYING [5,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 45.53/6.89 TRYING [1,4,1,2,3,1,2,1,1,3,4,1,1,1,1,1,1,1,3,1,2,1,1]
% 46.17/7.00 TRYING [4,1,1,3,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 47.65/7.22 TRYING [5,1,1,2,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,1,2,1,1]
% 48.73/7.35 Finite Model Found!
% 48.73/7.35 % SZS status Satisfiable for theBenchmark
% 48.73/7.38 % (29125)First to succeed.
% 48.73/7.38 % (29125)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29097"
% 48.73/7.40 % SZS output start FiniteModel for theBenchmark
% 48.73/7.40 tff(declare_$i,type,$i:$tType).
% 48.73/7.40 tff(declare_$i1,type,fmb_$i_1:$i).
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:$i] : (
% 48.73/7.40 X = fmb_$i_1
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(declare_bool,type,$o:$tType).
% 48.73/7.40 tff(declare_bool1,type,fmb_bool_1:$o).
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:$o] : (
% 48.73/7.40 X = fmb_bool_1
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$',type,'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$1',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$2',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$3',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$4',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_G_update_g_update_fun$',type,'G_update_g_update_fun$':$tType).
% 48.73/7.40 tff('declare_G_update_g_update_fun$1',type,fmb_'G_update_g_update_fun$'_1:'G_update_g_update_fun$').
% 48.73/7.40 tff('declare_G_update_g_update_fun$2',type,fmb_'G_update_g_update_fun$'_2:'G_update_g_update_fun$').
% 48.73/7.40 tff('declare_G_update_g_update_fun$3',type,fmb_'G_update_g_update_fun$'_3:'G_update_g_update_fun$').
% 48.73/7.40 tff('declare_G_update_g_update_fun$4',type,fmb_'G_update_g_update_fun$'_4:'G_update_g_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'G_update_g_update_fun$'] : (
% 48.73/7.40 X = fmb_'G_update_g_update_fun$'_1 | X = fmb_'G_update_g_update_fun$'_2 | X = fmb_'G_update_g_update_fun$'_3 | X = fmb_'G_update_g_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'G_update_g_update_fun$'_1 != fmb_'G_update_g_update_fun$'_2 & fmb_'G_update_g_update_fun$'_1 != fmb_'G_update_g_update_fun$'_3 & fmb_'G_update_g_update_fun$'_1 != fmb_'G_update_g_update_fun$'_4 & fmb_'G_update_g_update_fun$'_2 != fmb_'G_update_g_update_fun$'_3 & fmb_'G_update_g_update_fun$'_2 != fmb_'G_update_g_update_fun$'_4 &
% 48.73/7.40 fmb_'G_update_g_update_fun$'_3 != fmb_'G_update_g_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_d_prod_update$',type,'F_d_prod_update$':$tType).
% 48.73/7.40 tff('declare_F_d_prod_update$1',type,fmb_'F_d_prod_update$'_1:'F_d_prod_update$').
% 48.73/7.40 tff('declare_F_d_prod_update$2',type,fmb_'F_d_prod_update$'_2:'F_d_prod_update$').
% 48.73/7.40 tff('declare_F_d_prod_update$3',type,fmb_'F_d_prod_update$'_3:'F_d_prod_update$').
% 48.73/7.40 tff('declare_F_d_prod_update$4',type,fmb_'F_d_prod_update$'_4:'F_d_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_d_prod_update$'] : (
% 48.73/7.40 X = fmb_'F_d_prod_update$'_1 | X = fmb_'F_d_prod_update$'_2 | X = fmb_'F_d_prod_update$'_3 | X = fmb_'F_d_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_d_prod_update$'_1 != fmb_'F_d_prod_update$'_2 & fmb_'F_d_prod_update$'_1 != fmb_'F_d_prod_update$'_3 & fmb_'F_d_prod_update$'_1 != fmb_'F_d_prod_update$'_4 & fmb_'F_d_prod_update$'_2 != fmb_'F_d_prod_update$'_3 & fmb_'F_d_prod_update$'_2 != fmb_'F_d_prod_update$'_4 &
% 48.73/7.40 fmb_'F_d_prod_update$'_3 != fmb_'F_d_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_f_f_prod_update_fun$',type,'A_a_prod_update_f_f_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_f_f_prod_update_fun$1',type,fmb_'A_a_prod_update_f_f_prod_update_fun$'_1:'A_a_prod_update_f_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_f_prod_update_fun$2',type,fmb_'A_a_prod_update_f_f_prod_update_fun$'_2:'A_a_prod_update_f_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_f_prod_update_fun$3',type,fmb_'A_a_prod_update_f_f_prod_update_fun$'_3:'A_a_prod_update_f_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_f_prod_update_fun$4',type,fmb_'A_a_prod_update_f_f_prod_update_fun$'_4:'A_a_prod_update_f_f_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_f_f_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_f_f_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_f_f_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_f_f_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_f_f_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_f_f_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_f_prod_update_fun$'_2 & fmb_'A_a_prod_update_f_f_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_f_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_f_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_f_prod_update_fun$'_4 & fmb_'A_a_prod_update_f_f_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_f_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_f_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_f_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_f_f_prod_update_fun$'_3 != fmb_'A_a_prod_update_f_f_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_set$',type,'A_update_set$':$tType).
% 48.73/7.40 tff('declare_A_update_set$1',type,'top$d':'A_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_set$'] : (
% 48.73/7.40 X = 'top$d'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$',type,'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$1',type,fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1:'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$2',type,fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2:'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$3',type,fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3:'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$4',type,fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4:'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 | X = fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 | X = fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 | X = fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 & fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 & fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 != fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_b_prod_update$',type,'D_b_prod_update$':$tType).
% 48.73/7.40 tff('declare_D_b_prod_update$1',type,fmb_'D_b_prod_update$'_1:'D_b_prod_update$').
% 48.73/7.40 tff('declare_D_b_prod_update$2',type,fmb_'D_b_prod_update$'_2:'D_b_prod_update$').
% 48.73/7.40 tff('declare_D_b_prod_update$3',type,fmb_'D_b_prod_update$'_3:'D_b_prod_update$').
% 48.73/7.40 tff('declare_D_b_prod_update$4',type,fmb_'D_b_prod_update$'_4:'D_b_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_b_prod_update$'] : (
% 48.73/7.40 X = fmb_'D_b_prod_update$'_1 | X = fmb_'D_b_prod_update$'_2 | X = fmb_'D_b_prod_update$'_3 | X = fmb_'D_b_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D_b_prod_update$'_1 != fmb_'D_b_prod_update$'_2 & fmb_'D_b_prod_update$'_1 != fmb_'D_b_prod_update$'_3 & fmb_'D_b_prod_update$'_1 != fmb_'D_b_prod_update$'_4 & fmb_'D_b_prod_update$'_2 != fmb_'D_b_prod_update$'_3 & fmb_'D_b_prod_update$'_2 != fmb_'D_b_prod_update$'_4 &
% 48.73/7.40 fmb_'D_b_prod_update$'_3 != fmb_'D_b_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$',type,'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$1',type,'uxs$':'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$2',type,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_2:'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$3',type,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_3:'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$4',type,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_4:'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'] : (
% 48.73/7.40 X = 'uxs$' | X = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uxs$' != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_2 & 'uxs$' != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_3 & 'uxs$' != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_4 & fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_2 != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_3 & fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_2 != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_3 != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_update_d_update_fun$',type,'F_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_update_d_update_fun$1',type,fmb_'F_update_d_update_fun$'_1:'F_update_d_update_fun$').
% 48.73/7.40 tff('declare_F_update_d_update_fun$2',type,fmb_'F_update_d_update_fun$'_2:'F_update_d_update_fun$').
% 48.73/7.40 tff('declare_F_update_d_update_fun$3',type,fmb_'F_update_d_update_fun$'_3:'F_update_d_update_fun$').
% 48.73/7.40 tff('declare_F_update_d_update_fun$4',type,fmb_'F_update_d_update_fun$'_4:'F_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_update_d_update_fun$'_1 | X = fmb_'F_update_d_update_fun$'_2 | X = fmb_'F_update_d_update_fun$'_3 | X = fmb_'F_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_update_d_update_fun$'_1 != fmb_'F_update_d_update_fun$'_2 & fmb_'F_update_d_update_fun$'_1 != fmb_'F_update_d_update_fun$'_3 & fmb_'F_update_d_update_fun$'_1 != fmb_'F_update_d_update_fun$'_4 & fmb_'F_update_d_update_fun$'_2 != fmb_'F_update_d_update_fun$'_3 & fmb_'F_update_d_update_fun$'_2 != fmb_'F_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'F_update_d_update_fun$'_3 != fmb_'F_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$',type,'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$1',type,fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1:'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$2',type,fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2:'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$3',type,fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3:'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$4',type,fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4:'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 | X = fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 | X = fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 | X = fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 & fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 & fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 != fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_e_e_prod_update_fun$',type,'A_a_prod_update_e_e_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_e_e_prod_update_fun$1',type,fmb_'A_a_prod_update_e_e_prod_update_fun$'_1:'A_a_prod_update_e_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_e_prod_update_fun$2',type,fmb_'A_a_prod_update_e_e_prod_update_fun$'_2:'A_a_prod_update_e_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_e_prod_update_fun$3',type,fmb_'A_a_prod_update_e_e_prod_update_fun$'_3:'A_a_prod_update_e_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_e_prod_update_fun$4',type,fmb_'A_a_prod_update_e_e_prod_update_fun$'_4:'A_a_prod_update_e_e_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_e_e_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_e_e_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_e_e_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_e_e_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_e_e_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_e_e_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_e_prod_update_fun$'_2 & fmb_'A_a_prod_update_e_e_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_e_prod_update_fun$'_3 & fmb_'A_a_prod_update_e_e_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_e_prod_update_fun$'_4 & fmb_'A_a_prod_update_e_e_prod_update_fun$'_2 != fmb_'A_a_prod_update_e_e_prod_update_fun$'_3 & fmb_'A_a_prod_update_e_e_prod_update_fun$'_2 != fmb_'A_a_prod_update_e_e_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_e_e_prod_update_fun$'_3 != fmb_'A_a_prod_update_e_e_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_update_f_g_prod_update_fun$',type,'B_c_prod_update_f_g_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_update_f_g_prod_update_fun$1',type,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1:'B_c_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_f_g_prod_update_fun$2',type,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2:'B_c_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_f_g_prod_update_fun$3',type,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3:'B_c_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_f_g_prod_update_fun$4',type,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4:'B_c_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_update_f_g_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_c_prod_update_f_g_prod_update_fun$'_1 | X = fmb_'B_c_prod_update_f_g_prod_update_fun$'_2 | X = fmb_'B_c_prod_update_f_g_prod_update_fun$'_3 | X = fmb_'B_c_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_c_prod_update_f_g_prod_update_fun$'_1 != fmb_'B_c_prod_update_f_g_prod_update_fun$'_2 & fmb_'B_c_prod_update_f_g_prod_update_fun$'_1 != fmb_'B_c_prod_update_f_g_prod_update_fun$'_3 & fmb_'B_c_prod_update_f_g_prod_update_fun$'_1 != fmb_'B_c_prod_update_f_g_prod_update_fun$'_4 & fmb_'B_c_prod_update_f_g_prod_update_fun$'_2 != fmb_'B_c_prod_update_f_g_prod_update_fun$'_3 & fmb_'B_c_prod_update_f_g_prod_update_fun$'_2 != fmb_'B_c_prod_update_f_g_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'B_c_prod_update_f_g_prod_update_fun$'_3 != fmb_'B_c_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_e_update_fun$',type,'A_update_e_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_e_update_fun$1',type,fmb_'A_update_e_update_fun$'_1:'A_update_e_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_update_fun$2',type,fmb_'A_update_e_update_fun$'_2:'A_update_e_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_update_fun$3',type,fmb_'A_update_e_update_fun$'_3:'A_update_e_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_update_fun$4',type,fmb_'A_update_e_update_fun$'_4:'A_update_e_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_e_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_e_update_fun$'_1 | X = fmb_'A_update_e_update_fun$'_2 | X = fmb_'A_update_e_update_fun$'_3 | X = fmb_'A_update_e_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_e_update_fun$'_1 != fmb_'A_update_e_update_fun$'_2 & fmb_'A_update_e_update_fun$'_1 != fmb_'A_update_e_update_fun$'_3 & fmb_'A_update_e_update_fun$'_1 != fmb_'A_update_e_update_fun$'_4 & fmb_'A_update_e_update_fun$'_2 != fmb_'A_update_e_update_fun$'_3 & fmb_'A_update_e_update_fun$'_2 != fmb_'A_update_e_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_e_update_fun$'_3 != fmb_'A_update_e_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_b_c_prod_update_fun$',type,'A_update_b_c_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_b_c_prod_update_fun$1',type,fmb_'A_update_b_c_prod_update_fun$'_1:'A_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_c_prod_update_fun$2',type,fmb_'A_update_b_c_prod_update_fun$'_2:'A_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_c_prod_update_fun$3',type,fmb_'A_update_b_c_prod_update_fun$'_3:'A_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_c_prod_update_fun$4',type,fmb_'A_update_b_c_prod_update_fun$'_4:'A_update_b_c_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_b_c_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_b_c_prod_update_fun$'_1 | X = fmb_'A_update_b_c_prod_update_fun$'_2 | X = fmb_'A_update_b_c_prod_update_fun$'_3 | X = fmb_'A_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_b_c_prod_update_fun$'_1 != fmb_'A_update_b_c_prod_update_fun$'_2 & fmb_'A_update_b_c_prod_update_fun$'_1 != fmb_'A_update_b_c_prod_update_fun$'_3 & fmb_'A_update_b_c_prod_update_fun$'_1 != fmb_'A_update_b_c_prod_update_fun$'_4 & fmb_'A_update_b_c_prod_update_fun$'_2 != fmb_'A_update_b_c_prod_update_fun$'_3 & fmb_'A_update_b_c_prod_update_fun$'_2 != fmb_'A_update_b_c_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_b_c_prod_update_fun$'_3 != fmb_'A_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update$',type,'A_a_prod_update$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update$1',type,fmb_'A_a_prod_update$'_1:'A_a_prod_update$').
% 48.73/7.40 tff('declare_A_a_prod_update$2',type,fmb_'A_a_prod_update$'_2:'A_a_prod_update$').
% 48.73/7.40 tff('declare_A_a_prod_update$3',type,fmb_'A_a_prod_update$'_3:'A_a_prod_update$').
% 48.73/7.40 tff('declare_A_a_prod_update$4',type,fmb_'A_a_prod_update$'_4:'A_a_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update$'_1 | X = fmb_'A_a_prod_update$'_2 | X = fmb_'A_a_prod_update$'_3 | X = fmb_'A_a_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update$'_1 != fmb_'A_a_prod_update$'_2 & fmb_'A_a_prod_update$'_1 != fmb_'A_a_prod_update$'_3 & fmb_'A_a_prod_update$'_1 != fmb_'A_a_prod_update$'_4 & fmb_'A_a_prod_update$'_2 != fmb_'A_a_prod_update$'_3 & fmb_'A_a_prod_update$'_2 != fmb_'A_a_prod_update$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update$'_3 != fmb_'A_a_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_d_f_prod_update_fun$',type,'A_update_d_f_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_d_f_prod_update_fun$1',type,fmb_'A_update_d_f_prod_update_fun$'_1:'A_update_d_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_f_prod_update_fun$2',type,fmb_'A_update_d_f_prod_update_fun$'_2:'A_update_d_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_f_prod_update_fun$3',type,fmb_'A_update_d_f_prod_update_fun$'_3:'A_update_d_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_f_prod_update_fun$4',type,fmb_'A_update_d_f_prod_update_fun$'_4:'A_update_d_f_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_d_f_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_d_f_prod_update_fun$'_1 | X = fmb_'A_update_d_f_prod_update_fun$'_2 | X = fmb_'A_update_d_f_prod_update_fun$'_3 | X = fmb_'A_update_d_f_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_d_f_prod_update_fun$'_1 != fmb_'A_update_d_f_prod_update_fun$'_2 & fmb_'A_update_d_f_prod_update_fun$'_1 != fmb_'A_update_d_f_prod_update_fun$'_3 & fmb_'A_update_d_f_prod_update_fun$'_1 != fmb_'A_update_d_f_prod_update_fun$'_4 & fmb_'A_update_d_f_prod_update_fun$'_2 != fmb_'A_update_d_f_prod_update_fun$'_3 & fmb_'A_update_d_f_prod_update_fun$'_2 != fmb_'A_update_d_f_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_d_f_prod_update_fun$'_3 != fmb_'A_update_d_f_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_c_prod_update_fun$',type,'E_f_g_prod_prod_update_b_c_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_c_prod_update_fun$1',type,fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1:'E_f_g_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_c_prod_update_fun$2',type,fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2:'E_f_g_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_c_prod_update_fun$3',type,fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3:'E_f_g_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_c_prod_update_fun$4',type,fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4:'E_f_g_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_b_c_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2 & fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_update_c_update_fun$',type,'F_update_c_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_update_c_update_fun$1',type,fmb_'F_update_c_update_fun$'_1:'F_update_c_update_fun$').
% 48.73/7.40 tff('declare_F_update_c_update_fun$2',type,fmb_'F_update_c_update_fun$'_2:'F_update_c_update_fun$').
% 48.73/7.40 tff('declare_F_update_c_update_fun$3',type,fmb_'F_update_c_update_fun$'_3:'F_update_c_update_fun$').
% 48.73/7.40 tff('declare_F_update_c_update_fun$4',type,fmb_'F_update_c_update_fun$'_4:'F_update_c_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_update_c_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_update_c_update_fun$'_1 | X = fmb_'F_update_c_update_fun$'_2 | X = fmb_'F_update_c_update_fun$'_3 | X = fmb_'F_update_c_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_update_c_update_fun$'_1 != fmb_'F_update_c_update_fun$'_2 & fmb_'F_update_c_update_fun$'_1 != fmb_'F_update_c_update_fun$'_3 & fmb_'F_update_c_update_fun$'_1 != fmb_'F_update_c_update_fun$'_4 & fmb_'F_update_c_update_fun$'_2 != fmb_'F_update_c_update_fun$'_3 & fmb_'F_update_c_update_fun$'_2 != fmb_'F_update_c_update_fun$'_4 &
% 48.73/7.40 fmb_'F_update_c_update_fun$'_3 != fmb_'F_update_c_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_f_prod_update_bool_fun$',type,'F_f_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_F_f_prod_update_bool_fun$1',type,fmb_'F_f_prod_update_bool_fun$'_1:'F_f_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_f_prod_update_bool_fun$2',type,fmb_'F_f_prod_update_bool_fun$'_2:'F_f_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_f_prod_update_bool_fun$3',type,fmb_'F_f_prod_update_bool_fun$'_3:'F_f_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_f_prod_update_bool_fun$4',type,fmb_'F_f_prod_update_bool_fun$'_4:'F_f_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_f_prod_update_bool_fun$'] : (
% 48.73/7.40 X = fmb_'F_f_prod_update_bool_fun$'_1 | X = fmb_'F_f_prod_update_bool_fun$'_2 | X = fmb_'F_f_prod_update_bool_fun$'_3 | X = fmb_'F_f_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_f_prod_update_bool_fun$'_1 != fmb_'F_f_prod_update_bool_fun$'_2 & fmb_'F_f_prod_update_bool_fun$'_1 != fmb_'F_f_prod_update_bool_fun$'_3 & fmb_'F_f_prod_update_bool_fun$'_1 != fmb_'F_f_prod_update_bool_fun$'_4 & fmb_'F_f_prod_update_bool_fun$'_2 != fmb_'F_f_prod_update_bool_fun$'_3 & fmb_'F_f_prod_update_bool_fun$'_2 != fmb_'F_f_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'F_f_prod_update_bool_fun$'_3 != fmb_'F_f_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_set$',type,'E_f_g_prod_prod_update_set_set$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_set$1',type,'top$f':'E_f_g_prod_prod_update_set_set$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_set$2',type,fmb_'E_f_g_prod_prod_update_set_set$'_2:'E_f_g_prod_prod_update_set_set$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_set$3',type,fmb_'E_f_g_prod_prod_update_set_set$'_3:'E_f_g_prod_prod_update_set_set$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_set$4',type,fmb_'E_f_g_prod_prod_update_set_set$'_4:'E_f_g_prod_prod_update_set_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_set_set$'] : (
% 48.73/7.40 X = 'top$f' | X = fmb_'E_f_g_prod_prod_update_set_set$'_2 | X = fmb_'E_f_g_prod_prod_update_set_set$'_3 | X = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'top$f' != fmb_'E_f_g_prod_prod_update_set_set$'_2 & 'top$f' != fmb_'E_f_g_prod_prod_update_set_set$'_3 & 'top$f' != fmb_'E_f_g_prod_prod_update_set_set$'_4 & fmb_'E_f_g_prod_prod_update_set_set$'_2 != fmb_'E_f_g_prod_prod_update_set_set$'_3 & fmb_'E_f_g_prod_prod_update_set_set$'_2 != fmb_'E_f_g_prod_prod_update_set_set$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_set_set$'_3 != fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_G_update_set$',type,'G_update_set$':$tType).
% 48.73/7.40 tff('declare_G_update_set$1',type,fmb_'G_update_set$'_1:'G_update_set$').
% 48.73/7.40 tff('declare_G_update_set$2',type,fmb_'G_update_set$'_2:'G_update_set$').
% 48.73/7.40 tff('declare_G_update_set$3',type,fmb_'G_update_set$'_3:'G_update_set$').
% 48.73/7.40 tff('declare_G_update_set$4',type,fmb_'G_update_set$'_4:'G_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'G_update_set$'] : (
% 48.73/7.40 X = fmb_'G_update_set$'_1 | X = fmb_'G_update_set$'_2 | X = fmb_'G_update_set$'_3 | X = fmb_'G_update_set$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'G_update_set$'_1 != fmb_'G_update_set$'_2 & fmb_'G_update_set$'_1 != fmb_'G_update_set$'_3 & fmb_'G_update_set$'_1 != fmb_'G_update_set$'_4 & fmb_'G_update_set$'_2 != fmb_'G_update_set$'_3 & fmb_'G_update_set$'_2 != fmb_'G_update_set$'_4 &
% 48.73/7.40 fmb_'G_update_set$'_3 != fmb_'G_update_set$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_c_prod_update$',type,'F_c_prod_update$':$tType).
% 48.73/7.40 tff('declare_F_c_prod_update$1',type,fmb_'F_c_prod_update$'_1:'F_c_prod_update$').
% 48.73/7.40 tff('declare_F_c_prod_update$2',type,fmb_'F_c_prod_update$'_2:'F_c_prod_update$').
% 48.73/7.40 tff('declare_F_c_prod_update$3',type,fmb_'F_c_prod_update$'_3:'F_c_prod_update$').
% 48.73/7.40 tff('declare_F_c_prod_update$4',type,fmb_'F_c_prod_update$'_4:'F_c_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_c_prod_update$'] : (
% 48.73/7.40 X = fmb_'F_c_prod_update$'_1 | X = fmb_'F_c_prod_update$'_2 | X = fmb_'F_c_prod_update$'_3 | X = fmb_'F_c_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_c_prod_update$'_1 != fmb_'F_c_prod_update$'_2 & fmb_'F_c_prod_update$'_1 != fmb_'F_c_prod_update$'_3 & fmb_'F_c_prod_update$'_1 != fmb_'F_c_prod_update$'_4 & fmb_'F_c_prod_update$'_2 != fmb_'F_c_prod_update$'_3 & fmb_'F_c_prod_update$'_2 != fmb_'F_c_prod_update$'_4 &
% 48.73/7.40 fmb_'F_c_prod_update$'_3 != fmb_'F_c_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update$',type,'A_update$':$tType).
% 48.73/7.40 tff('declare_A_update$1',type,'id_update$h':'A_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update$'] : (
% 48.73/7.40 X = 'id_update$h'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_c_prod_update_bool_fun$',type,'F_c_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_F_c_prod_update_bool_fun$1',type,fmb_'F_c_prod_update_bool_fun$'_1:'F_c_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_c_prod_update_bool_fun$2',type,fmb_'F_c_prod_update_bool_fun$'_2:'F_c_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_c_prod_update_bool_fun$3',type,fmb_'F_c_prod_update_bool_fun$'_3:'F_c_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_c_prod_update_bool_fun$4',type,fmb_'F_c_prod_update_bool_fun$'_4:'F_c_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_c_prod_update_bool_fun$'] : (
% 48.73/7.40 X = fmb_'F_c_prod_update_bool_fun$'_1 | X = fmb_'F_c_prod_update_bool_fun$'_2 | X = fmb_'F_c_prod_update_bool_fun$'_3 | X = fmb_'F_c_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_c_prod_update_bool_fun$'_1 != fmb_'F_c_prod_update_bool_fun$'_2 & fmb_'F_c_prod_update_bool_fun$'_1 != fmb_'F_c_prod_update_bool_fun$'_3 & fmb_'F_c_prod_update_bool_fun$'_1 != fmb_'F_c_prod_update_bool_fun$'_4 & fmb_'F_c_prod_update_bool_fun$'_2 != fmb_'F_c_prod_update_bool_fun$'_3 & fmb_'F_c_prod_update_bool_fun$'_2 != fmb_'F_c_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'F_c_prod_update_bool_fun$'_3 != fmb_'F_c_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_a_update_fun$',type,'B_update_a_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_update_a_update_fun$1',type,fmb_'B_update_a_update_fun$'_1:'B_update_a_update_fun$').
% 48.73/7.40 tff('declare_B_update_a_update_fun$2',type,fmb_'B_update_a_update_fun$'_2:'B_update_a_update_fun$').
% 48.73/7.40 tff('declare_B_update_a_update_fun$3',type,fmb_'B_update_a_update_fun$'_3:'B_update_a_update_fun$').
% 48.73/7.40 tff('declare_B_update_a_update_fun$4',type,fmb_'B_update_a_update_fun$'_4:'B_update_a_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_a_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_update_a_update_fun$'_1 | X = fmb_'B_update_a_update_fun$'_2 | X = fmb_'B_update_a_update_fun$'_3 | X = fmb_'B_update_a_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_update_a_update_fun$'_1 != fmb_'B_update_a_update_fun$'_2 & fmb_'B_update_a_update_fun$'_1 != fmb_'B_update_a_update_fun$'_3 & fmb_'B_update_a_update_fun$'_1 != fmb_'B_update_a_update_fun$'_4 & fmb_'B_update_a_update_fun$'_2 != fmb_'B_update_a_update_fun$'_3 & fmb_'B_update_a_update_fun$'_2 != fmb_'B_update_a_update_fun$'_4 &
% 48.73/7.40 fmb_'B_update_a_update_fun$'_3 != fmb_'B_update_a_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_e_prod_update$',type,'D_e_prod_update$':$tType).
% 48.73/7.40 tff('declare_D_e_prod_update$1',type,fmb_'D_e_prod_update$'_1:'D_e_prod_update$').
% 48.73/7.40 tff('declare_D_e_prod_update$2',type,fmb_'D_e_prod_update$'_2:'D_e_prod_update$').
% 48.73/7.40 tff('declare_D_e_prod_update$3',type,fmb_'D_e_prod_update$'_3:'D_e_prod_update$').
% 48.73/7.40 tff('declare_D_e_prod_update$4',type,fmb_'D_e_prod_update$'_4:'D_e_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_e_prod_update$'] : (
% 48.73/7.40 X = fmb_'D_e_prod_update$'_1 | X = fmb_'D_e_prod_update$'_2 | X = fmb_'D_e_prod_update$'_3 | X = fmb_'D_e_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D_e_prod_update$'_1 != fmb_'D_e_prod_update$'_2 & fmb_'D_e_prod_update$'_1 != fmb_'D_e_prod_update$'_3 & fmb_'D_e_prod_update$'_1 != fmb_'D_e_prod_update$'_4 & fmb_'D_e_prod_update$'_2 != fmb_'D_e_prod_update$'_3 & fmb_'D_e_prod_update$'_2 != fmb_'D_e_prod_update$'_4 &
% 48.73/7.40 fmb_'D_e_prod_update$'_3 != fmb_'D_e_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_update_f_g_prod_update_fun$',type,'F_update_f_g_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_update_f_g_prod_update_fun$1',type,'uxk$':'F_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_F_update_f_g_prod_update_fun$2',type,fmb_'F_update_f_g_prod_update_fun$'_2:'F_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_F_update_f_g_prod_update_fun$3',type,fmb_'F_update_f_g_prod_update_fun$'_3:'F_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_F_update_f_g_prod_update_fun$4',type,fmb_'F_update_f_g_prod_update_fun$'_4:'F_update_f_g_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_update_f_g_prod_update_fun$'] : (
% 48.73/7.40 X = 'uxk$' | X = fmb_'F_update_f_g_prod_update_fun$'_2 | X = fmb_'F_update_f_g_prod_update_fun$'_3 | X = fmb_'F_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uxk$' != fmb_'F_update_f_g_prod_update_fun$'_2 & 'uxk$' != fmb_'F_update_f_g_prod_update_fun$'_3 & 'uxk$' != fmb_'F_update_f_g_prod_update_fun$'_4 & fmb_'F_update_f_g_prod_update_fun$'_2 != fmb_'F_update_f_g_prod_update_fun$'_3 & fmb_'F_update_f_g_prod_update_fun$'_2 != fmb_'F_update_f_g_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'F_update_f_g_prod_update_fun$'_3 != fmb_'F_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_f_g_prod_update_fun$',type,'E_f_g_prod_prod_update_f_g_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_f_g_prod_update_fun$1',type,fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1:'E_f_g_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_f_g_prod_update_fun$2',type,fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2:'E_f_g_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_f_g_prod_update_fun$3',type,fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3:'E_f_g_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_f_g_prod_update_fun$4',type,fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4:'E_f_g_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_f_g_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2 & fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_b_update_fun$',type,'A_a_prod_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_b_update_fun$1',type,fmb_'A_a_prod_update_b_update_fun$'_1:'A_a_prod_update_b_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_b_update_fun$2',type,fmb_'A_a_prod_update_b_update_fun$'_2:'A_a_prod_update_b_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_b_update_fun$3',type,fmb_'A_a_prod_update_b_update_fun$'_3:'A_a_prod_update_b_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_b_update_fun$4',type,fmb_'A_a_prod_update_b_update_fun$'_4:'A_a_prod_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_b_update_fun$'_1 | X = fmb_'A_a_prod_update_b_update_fun$'_2 | X = fmb_'A_a_prod_update_b_update_fun$'_3 | X = fmb_'A_a_prod_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_b_update_fun$'_1 != fmb_'A_a_prod_update_b_update_fun$'_2 & fmb_'A_a_prod_update_b_update_fun$'_1 != fmb_'A_a_prod_update_b_update_fun$'_3 & fmb_'A_a_prod_update_b_update_fun$'_1 != fmb_'A_a_prod_update_b_update_fun$'_4 & fmb_'A_a_prod_update_b_update_fun$'_2 != fmb_'A_a_prod_update_b_update_fun$'_3 & fmb_'A_a_prod_update_b_update_fun$'_2 != fmb_'A_a_prod_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_b_update_fun$'_3 != fmb_'A_a_prod_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_e_d_prod_update_fun$',type,'A_update_e_d_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_e_d_prod_update_fun$1',type,fmb_'A_update_e_d_prod_update_fun$'_1:'A_update_e_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_d_prod_update_fun$2',type,fmb_'A_update_e_d_prod_update_fun$'_2:'A_update_e_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_d_prod_update_fun$3',type,fmb_'A_update_e_d_prod_update_fun$'_3:'A_update_e_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_d_prod_update_fun$4',type,fmb_'A_update_e_d_prod_update_fun$'_4:'A_update_e_d_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_e_d_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_e_d_prod_update_fun$'_1 | X = fmb_'A_update_e_d_prod_update_fun$'_2 | X = fmb_'A_update_e_d_prod_update_fun$'_3 | X = fmb_'A_update_e_d_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_e_d_prod_update_fun$'_1 != fmb_'A_update_e_d_prod_update_fun$'_2 & fmb_'A_update_e_d_prod_update_fun$'_1 != fmb_'A_update_e_d_prod_update_fun$'_3 & fmb_'A_update_e_d_prod_update_fun$'_1 != fmb_'A_update_e_d_prod_update_fun$'_4 & fmb_'A_update_e_d_prod_update_fun$'_2 != fmb_'A_update_e_d_prod_update_fun$'_3 & fmb_'A_update_e_d_prod_update_fun$'_2 != fmb_'A_update_e_d_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_e_d_prod_update_fun$'_3 != fmb_'A_update_e_d_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_update_b_c_prod_update_fun$',type,'B_c_prod_update_b_c_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_update_b_c_prod_update_fun$1',type,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1:'B_c_prod_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_b_c_prod_update_fun$2',type,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2:'B_c_prod_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_b_c_prod_update_fun$3',type,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3:'B_c_prod_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_b_c_prod_update_fun$4',type,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4:'B_c_prod_update_b_c_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_update_b_c_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_c_prod_update_b_c_prod_update_fun$'_1 | X = fmb_'B_c_prod_update_b_c_prod_update_fun$'_2 | X = fmb_'B_c_prod_update_b_c_prod_update_fun$'_3 | X = fmb_'B_c_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_c_prod_update_b_c_prod_update_fun$'_1 != fmb_'B_c_prod_update_b_c_prod_update_fun$'_2 & fmb_'B_c_prod_update_b_c_prod_update_fun$'_1 != fmb_'B_c_prod_update_b_c_prod_update_fun$'_3 & fmb_'B_c_prod_update_b_c_prod_update_fun$'_1 != fmb_'B_c_prod_update_b_c_prod_update_fun$'_4 & fmb_'B_c_prod_update_b_c_prod_update_fun$'_2 != fmb_'B_c_prod_update_b_c_prod_update_fun$'_3 & fmb_'B_c_prod_update_b_c_prod_update_fun$'_2 != fmb_'B_c_prod_update_b_c_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'B_c_prod_update_b_c_prod_update_fun$'_3 != fmb_'B_c_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_b_c_prod_update_fun$',type,'B_update_b_c_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_update_b_c_prod_update_fun$1',type,'uxm$':'B_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_b_c_prod_update_fun$2',type,fmb_'B_update_b_c_prod_update_fun$'_2:'B_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_b_c_prod_update_fun$3',type,fmb_'B_update_b_c_prod_update_fun$'_3:'B_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_b_c_prod_update_fun$4',type,fmb_'B_update_b_c_prod_update_fun$'_4:'B_update_b_c_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_b_c_prod_update_fun$'] : (
% 48.73/7.40 X = 'uxm$' | X = fmb_'B_update_b_c_prod_update_fun$'_2 | X = fmb_'B_update_b_c_prod_update_fun$'_3 | X = fmb_'B_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uxm$' != fmb_'B_update_b_c_prod_update_fun$'_2 & 'uxm$' != fmb_'B_update_b_c_prod_update_fun$'_3 & 'uxm$' != fmb_'B_update_b_c_prod_update_fun$'_4 & fmb_'B_update_b_c_prod_update_fun$'_2 != fmb_'B_update_b_c_prod_update_fun$'_3 & fmb_'B_update_b_c_prod_update_fun$'_2 != fmb_'B_update_b_c_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'B_update_b_c_prod_update_fun$'_3 != fmb_'B_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_G_update_b_update_fun$',type,'G_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_G_update_b_update_fun$1',type,fmb_'G_update_b_update_fun$'_1:'G_update_b_update_fun$').
% 48.73/7.40 tff('declare_G_update_b_update_fun$2',type,fmb_'G_update_b_update_fun$'_2:'G_update_b_update_fun$').
% 48.73/7.40 tff('declare_G_update_b_update_fun$3',type,fmb_'G_update_b_update_fun$'_3:'G_update_b_update_fun$').
% 48.73/7.40 tff('declare_G_update_b_update_fun$4',type,fmb_'G_update_b_update_fun$'_4:'G_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'G_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'G_update_b_update_fun$'_1 | X = fmb_'G_update_b_update_fun$'_2 | X = fmb_'G_update_b_update_fun$'_3 | X = fmb_'G_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'G_update_b_update_fun$'_1 != fmb_'G_update_b_update_fun$'_2 & fmb_'G_update_b_update_fun$'_1 != fmb_'G_update_b_update_fun$'_3 & fmb_'G_update_b_update_fun$'_1 != fmb_'G_update_b_update_fun$'_4 & fmb_'G_update_b_update_fun$'_2 != fmb_'G_update_b_update_fun$'_3 & fmb_'G_update_b_update_fun$'_2 != fmb_'G_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'G_update_b_update_fun$'_3 != fmb_'G_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_set$',type,'A_b_c_prod_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_set$1',type,'top$k':'A_b_c_prod_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_update_set$'] : (
% 48.73/7.40 X = 'top$k'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_e_update_fun$',type,'E_update_e_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_update_e_update_fun$1',type,fmb_'E_update_e_update_fun$'_1:'E_update_e_update_fun$').
% 48.73/7.40 tff('declare_E_update_e_update_fun$2',type,fmb_'E_update_e_update_fun$'_2:'E_update_e_update_fun$').
% 48.73/7.40 tff('declare_E_update_e_update_fun$3',type,fmb_'E_update_e_update_fun$'_3:'E_update_e_update_fun$').
% 48.73/7.40 tff('declare_E_update_e_update_fun$4',type,fmb_'E_update_e_update_fun$'_4:'E_update_e_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_e_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_update_e_update_fun$'_1 | X = fmb_'E_update_e_update_fun$'_2 | X = fmb_'E_update_e_update_fun$'_3 | X = fmb_'E_update_e_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_update_e_update_fun$'_1 != fmb_'E_update_e_update_fun$'_2 & fmb_'E_update_e_update_fun$'_1 != fmb_'E_update_e_update_fun$'_3 & fmb_'E_update_e_update_fun$'_1 != fmb_'E_update_e_update_fun$'_4 & fmb_'E_update_e_update_fun$'_2 != fmb_'E_update_e_update_fun$'_3 & fmb_'E_update_e_update_fun$'_2 != fmb_'E_update_e_update_fun$'_4 &
% 48.73/7.40 fmb_'E_update_e_update_fun$'_3 != fmb_'E_update_e_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_e_prod_update_set$',type,'F_e_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_F_e_prod_update_set$1',type,fmb_'F_e_prod_update_set$'_1:'F_e_prod_update_set$').
% 48.73/7.40 tff('declare_F_e_prod_update_set$2',type,fmb_'F_e_prod_update_set$'_2:'F_e_prod_update_set$').
% 48.73/7.40 tff('declare_F_e_prod_update_set$3',type,fmb_'F_e_prod_update_set$'_3:'F_e_prod_update_set$').
% 48.73/7.40 tff('declare_F_e_prod_update_set$4',type,fmb_'F_e_prod_update_set$'_4:'F_e_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_e_prod_update_set$'] : (
% 48.73/7.40 X = fmb_'F_e_prod_update_set$'_1 | X = fmb_'F_e_prod_update_set$'_2 | X = fmb_'F_e_prod_update_set$'_3 | X = fmb_'F_e_prod_update_set$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_e_prod_update_set$'_1 != fmb_'F_e_prod_update_set$'_2 & fmb_'F_e_prod_update_set$'_1 != fmb_'F_e_prod_update_set$'_3 & fmb_'F_e_prod_update_set$'_1 != fmb_'F_e_prod_update_set$'_4 & fmb_'F_e_prod_update_set$'_2 != fmb_'F_e_prod_update_set$'_3 & fmb_'F_e_prod_update_set$'_2 != fmb_'F_e_prod_update_set$'_4 &
% 48.73/7.40 fmb_'F_e_prod_update_set$'_3 != fmb_'F_e_prod_update_set$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_b_c_prod_prod_prod_update_d_update_fun$',type,'A_a_b_c_prod_prod_prod_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_b_c_prod_prod_prod_update_d_update_fun$1',type,fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_1:'A_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_a_b_c_prod_prod_prod_update_d_update_fun$2',type,fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_2:'A_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_a_b_c_prod_prod_prod_update_d_update_fun$3',type,fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_3:'A_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_a_b_c_prod_prod_prod_update_d_update_fun$4',type,fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_4:'A_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_b_c_prod_prod_prod_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_1 | X = fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_2 | X = fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_3 | X = fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_1 != fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_2 & fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_1 != fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_3 & fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_1 != fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_4 & fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_2 != fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_3 & fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_2 != fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_3 != fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$',type,'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$1',type,fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1:'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$2',type,fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2:'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$3',type,fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3:'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$4',type,fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4:'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 | X = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 & fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 & fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_g_prod_update_set$',type,'F_g_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_F_g_prod_update_set$1',type,'top$m':'F_g_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_g_prod_update_set$'] : (
% 48.73/7.40 X = 'top$m'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_G_update_c_update_fun$',type,'G_update_c_update_fun$':$tType).
% 48.73/7.40 tff('declare_G_update_c_update_fun$1',type,fmb_'G_update_c_update_fun$'_1:'G_update_c_update_fun$').
% 48.73/7.40 tff('declare_G_update_c_update_fun$2',type,fmb_'G_update_c_update_fun$'_2:'G_update_c_update_fun$').
% 48.73/7.40 tff('declare_G_update_c_update_fun$3',type,fmb_'G_update_c_update_fun$'_3:'G_update_c_update_fun$').
% 48.73/7.40 tff('declare_G_update_c_update_fun$4',type,fmb_'G_update_c_update_fun$'_4:'G_update_c_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'G_update_c_update_fun$'] : (
% 48.73/7.40 X = fmb_'G_update_c_update_fun$'_1 | X = fmb_'G_update_c_update_fun$'_2 | X = fmb_'G_update_c_update_fun$'_3 | X = fmb_'G_update_c_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'G_update_c_update_fun$'_1 != fmb_'G_update_c_update_fun$'_2 & fmb_'G_update_c_update_fun$'_1 != fmb_'G_update_c_update_fun$'_3 & fmb_'G_update_c_update_fun$'_1 != fmb_'G_update_c_update_fun$'_4 & fmb_'G_update_c_update_fun$'_2 != fmb_'G_update_c_update_fun$'_3 & fmb_'G_update_c_update_fun$'_2 != fmb_'G_update_c_update_fun$'_4 &
% 48.73/7.40 fmb_'G_update_c_update_fun$'_3 != fmb_'G_update_c_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_G_update_d_update_fun$',type,'G_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_G_update_d_update_fun$1',type,fmb_'G_update_d_update_fun$'_1:'G_update_d_update_fun$').
% 48.73/7.40 tff('declare_G_update_d_update_fun$2',type,fmb_'G_update_d_update_fun$'_2:'G_update_d_update_fun$').
% 48.73/7.40 tff('declare_G_update_d_update_fun$3',type,fmb_'G_update_d_update_fun$'_3:'G_update_d_update_fun$').
% 48.73/7.40 tff('declare_G_update_d_update_fun$4',type,fmb_'G_update_d_update_fun$'_4:'G_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'G_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'G_update_d_update_fun$'_1 | X = fmb_'G_update_d_update_fun$'_2 | X = fmb_'G_update_d_update_fun$'_3 | X = fmb_'G_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'G_update_d_update_fun$'_1 != fmb_'G_update_d_update_fun$'_2 & fmb_'G_update_d_update_fun$'_1 != fmb_'G_update_d_update_fun$'_3 & fmb_'G_update_d_update_fun$'_1 != fmb_'G_update_d_update_fun$'_4 & fmb_'G_update_d_update_fun$'_2 != fmb_'G_update_d_update_fun$'_3 & fmb_'G_update_d_update_fun$'_2 != fmb_'G_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'G_update_d_update_fun$'_3 != fmb_'G_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_f_d_prod_update_fun$',type,'A_update_f_d_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_f_d_prod_update_fun$1',type,fmb_'A_update_f_d_prod_update_fun$'_1:'A_update_f_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_f_d_prod_update_fun$2',type,fmb_'A_update_f_d_prod_update_fun$'_2:'A_update_f_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_f_d_prod_update_fun$3',type,fmb_'A_update_f_d_prod_update_fun$'_3:'A_update_f_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_f_d_prod_update_fun$4',type,fmb_'A_update_f_d_prod_update_fun$'_4:'A_update_f_d_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_f_d_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_f_d_prod_update_fun$'_1 | X = fmb_'A_update_f_d_prod_update_fun$'_2 | X = fmb_'A_update_f_d_prod_update_fun$'_3 | X = fmb_'A_update_f_d_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_f_d_prod_update_fun$'_1 != fmb_'A_update_f_d_prod_update_fun$'_2 & fmb_'A_update_f_d_prod_update_fun$'_1 != fmb_'A_update_f_d_prod_update_fun$'_3 & fmb_'A_update_f_d_prod_update_fun$'_1 != fmb_'A_update_f_d_prod_update_fun$'_4 & fmb_'A_update_f_d_prod_update_fun$'_2 != fmb_'A_update_f_d_prod_update_fun$'_3 & fmb_'A_update_f_d_prod_update_fun$'_2 != fmb_'A_update_f_d_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_f_d_prod_update_fun$'_3 != fmb_'A_update_f_d_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set$',type,'E_f_g_prod_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set$1',type,'bot$':'E_f_g_prod_prod_update_set$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set$2',type,'top$e':'E_f_g_prod_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_set$'] : (
% 48.73/7.40 X = 'bot$' | X = 'top$e'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'bot$' != 'top$e'
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_a_b_c_prod_prod_update_fun$',type,'B_update_a_b_c_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_update_a_b_c_prod_prod_update_fun$1',type,fmb_'B_update_a_b_c_prod_prod_update_fun$'_1:'B_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_a_b_c_prod_prod_update_fun$2',type,fmb_'B_update_a_b_c_prod_prod_update_fun$'_2:'B_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_a_b_c_prod_prod_update_fun$3',type,fmb_'B_update_a_b_c_prod_prod_update_fun$'_3:'B_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_a_b_c_prod_prod_update_fun$4',type,fmb_'B_update_a_b_c_prod_prod_update_fun$'_4:'B_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_a_b_c_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_update_a_b_c_prod_prod_update_fun$'_1 | X = fmb_'B_update_a_b_c_prod_prod_update_fun$'_2 | X = fmb_'B_update_a_b_c_prod_prod_update_fun$'_3 | X = fmb_'B_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'B_update_a_b_c_prod_prod_update_fun$'_2 & fmb_'B_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'B_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'B_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'B_update_a_b_c_prod_prod_update_fun$'_4 & fmb_'B_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'B_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'B_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'B_update_a_b_c_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'B_update_a_b_c_prod_prod_update_fun$'_3 != fmb_'B_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_b_prod_update$',type,'E_b_prod_update$':$tType).
% 48.73/7.40 tff('declare_E_b_prod_update$1',type,fmb_'E_b_prod_update$'_1:'E_b_prod_update$').
% 48.73/7.40 tff('declare_E_b_prod_update$2',type,fmb_'E_b_prod_update$'_2:'E_b_prod_update$').
% 48.73/7.40 tff('declare_E_b_prod_update$3',type,fmb_'E_b_prod_update$'_3:'E_b_prod_update$').
% 48.73/7.40 tff('declare_E_b_prod_update$4',type,fmb_'E_b_prod_update$'_4:'E_b_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_b_prod_update$'] : (
% 48.73/7.40 X = fmb_'E_b_prod_update$'_1 | X = fmb_'E_b_prod_update$'_2 | X = fmb_'E_b_prod_update$'_3 | X = fmb_'E_b_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_b_prod_update$'_1 != fmb_'E_b_prod_update$'_2 & fmb_'E_b_prod_update$'_1 != fmb_'E_b_prod_update$'_3 & fmb_'E_b_prod_update$'_1 != fmb_'E_b_prod_update$'_4 & fmb_'E_b_prod_update$'_2 != fmb_'E_b_prod_update$'_3 & fmb_'E_b_prod_update$'_2 != fmb_'E_b_prod_update$'_4 &
% 48.73/7.40 fmb_'E_b_prod_update$'_3 != fmb_'E_b_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_itself$',type,'D_itself$':$tType).
% 48.73/7.40 tff('declare_D_itself$1',type,'type$':'D_itself$').
% 48.73/7.40 tff('declare_D_itself$2',type,fmb_'D_itself$'_2:'D_itself$').
% 48.73/7.40 tff('declare_D_itself$3',type,fmb_'D_itself$'_3:'D_itself$').
% 48.73/7.40 tff('declare_D_itself$4',type,fmb_'D_itself$'_4:'D_itself$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_itself$'] : (
% 48.73/7.40 X = 'type$' | X = fmb_'D_itself$'_2 | X = fmb_'D_itself$'_3 | X = fmb_'D_itself$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'type$' != fmb_'D_itself$'_2 & 'type$' != fmb_'D_itself$'_3 & 'type$' != fmb_'D_itself$'_4 & fmb_'D_itself$'_2 != fmb_'D_itself$'_3 & fmb_'D_itself$'_2 != fmb_'D_itself$'_4 &
% 48.73/7.40 fmb_'D_itself$'_3 != fmb_'D_itself$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D$',type,'D$':$tType).
% 48.73/7.40 tff('declare_D$1',type,fmb_'D$'_1:'D$').
% 48.73/7.40 tff('declare_D$2',type,fmb_'D$'_2:'D$').
% 48.73/7.40 tff('declare_D$3',type,fmb_'D$'_3:'D$').
% 48.73/7.40 tff('declare_D$4',type,fmb_'D$'_4:'D$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D$'] : (
% 48.73/7.40 X = fmb_'D$'_1 | X = fmb_'D$'_2 | X = fmb_'D$'_3 | X = fmb_'D$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D$'_1 != fmb_'D$'_2 & fmb_'D$'_1 != fmb_'D$'_3 & fmb_'D$'_1 != fmb_'D$'_4 & fmb_'D$'_2 != fmb_'D$'_3 & fmb_'D$'_2 != fmb_'D$'_4 &
% 48.73/7.40 fmb_'D$'_3 != fmb_'D$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_b_c_prod_update_fun$',type,'E_update_b_c_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_update_b_c_prod_update_fun$1',type,fmb_'E_update_b_c_prod_update_fun$'_1:'E_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_E_update_b_c_prod_update_fun$2',type,fmb_'E_update_b_c_prod_update_fun$'_2:'E_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_E_update_b_c_prod_update_fun$3',type,fmb_'E_update_b_c_prod_update_fun$'_3:'E_update_b_c_prod_update_fun$').
% 48.73/7.40 tff('declare_E_update_b_c_prod_update_fun$4',type,fmb_'E_update_b_c_prod_update_fun$'_4:'E_update_b_c_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_b_c_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_update_b_c_prod_update_fun$'_1 | X = fmb_'E_update_b_c_prod_update_fun$'_2 | X = fmb_'E_update_b_c_prod_update_fun$'_3 | X = fmb_'E_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_update_b_c_prod_update_fun$'_1 != fmb_'E_update_b_c_prod_update_fun$'_2 & fmb_'E_update_b_c_prod_update_fun$'_1 != fmb_'E_update_b_c_prod_update_fun$'_3 & fmb_'E_update_b_c_prod_update_fun$'_1 != fmb_'E_update_b_c_prod_update_fun$'_4 & fmb_'E_update_b_c_prod_update_fun$'_2 != fmb_'E_update_b_c_prod_update_fun$'_3 & fmb_'E_update_b_c_prod_update_fun$'_2 != fmb_'E_update_b_c_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'E_update_b_c_prod_update_fun$'_3 != fmb_'E_update_b_c_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$',type,'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$1',type,fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1:'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$2',type,fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2:'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$3',type,fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_3:'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$4',type,fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4:'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1 | X = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2 & fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4 & fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_3 != fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_e_b_prod_update_fun$',type,'A_a_prod_update_e_b_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_e_b_prod_update_fun$1',type,fmb_'A_a_prod_update_e_b_prod_update_fun$'_1:'A_a_prod_update_e_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_b_prod_update_fun$2',type,fmb_'A_a_prod_update_e_b_prod_update_fun$'_2:'A_a_prod_update_e_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_b_prod_update_fun$3',type,fmb_'A_a_prod_update_e_b_prod_update_fun$'_3:'A_a_prod_update_e_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_b_prod_update_fun$4',type,fmb_'A_a_prod_update_e_b_prod_update_fun$'_4:'A_a_prod_update_e_b_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_e_b_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_e_b_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_e_b_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_e_b_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_e_b_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_e_b_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_b_prod_update_fun$'_2 & fmb_'A_a_prod_update_e_b_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_b_prod_update_fun$'_3 & fmb_'A_a_prod_update_e_b_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_b_prod_update_fun$'_4 & fmb_'A_a_prod_update_e_b_prod_update_fun$'_2 != fmb_'A_a_prod_update_e_b_prod_update_fun$'_3 & fmb_'A_a_prod_update_e_b_prod_update_fun$'_2 != fmb_'A_a_prod_update_e_b_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_e_b_prod_update_fun$'_3 != fmb_'A_a_prod_update_e_b_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_bool_fun$',type,'A_b_c_prod_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_bool_fun$1',type,'top$l':'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_bool_fun$2',type,'uvt$':'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_bool_fun$3',type,fmb_'A_b_c_prod_prod_update_bool_fun$'_3:'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_bool_fun$4',type,fmb_'A_b_c_prod_prod_update_bool_fun$'_4:'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_update_bool_fun$'] : (
% 48.73/7.40 X = 'top$l' | X = 'uvt$' | X = fmb_'A_b_c_prod_prod_update_bool_fun$'_3 | X = fmb_'A_b_c_prod_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'top$l' != 'uvt$' & 'top$l' != fmb_'A_b_c_prod_prod_update_bool_fun$'_3 & 'top$l' != fmb_'A_b_c_prod_prod_update_bool_fun$'_4 & 'uvt$' != fmb_'A_b_c_prod_prod_update_bool_fun$'_3 & 'uvt$' != fmb_'A_b_c_prod_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_update_bool_fun$'_3 != fmb_'A_b_c_prod_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$',type,'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$1',type,'uya$':'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$2',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$3',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$4',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'] : (
% 48.73/7.40 X = 'uya$' | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uya$' != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2 & 'uya$' != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3 & 'uya$' != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_g_prod_update_bool_fun$',type,'F_g_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_F_g_prod_update_bool_fun$1',type,'top$n':'F_g_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_bool_fun$2',type,'uvu$':'F_g_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_bool_fun$3',type,fmb_'F_g_prod_update_bool_fun$'_3:'F_g_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_bool_fun$4',type,fmb_'F_g_prod_update_bool_fun$'_4:'F_g_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_g_prod_update_bool_fun$'] : (
% 48.73/7.40 X = 'top$n' | X = 'uvu$' | X = fmb_'F_g_prod_update_bool_fun$'_3 | X = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'top$n' != 'uvu$' & 'top$n' != fmb_'F_g_prod_update_bool_fun$'_3 & 'top$n' != fmb_'F_g_prod_update_bool_fun$'_4 & 'uvu$' != fmb_'F_g_prod_update_bool_fun$'_3 & 'uvu$' != fmb_'F_g_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'F_g_prod_update_bool_fun$'_3 != fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$',type,'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$1',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$2',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$3',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$4',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'] : (
% 48.73/7.40 X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_set$',type,'E_update_set$':$tType).
% 48.73/7.40 tff('declare_E_update_set$1',type,'top$a':'E_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_set$'] : (
% 48.73/7.40 X = 'top$a'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_e_prod_update_bool_fun$',type,'F_e_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_F_e_prod_update_bool_fun$1',type,fmb_'F_e_prod_update_bool_fun$'_1:'F_e_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_e_prod_update_bool_fun$2',type,fmb_'F_e_prod_update_bool_fun$'_2:'F_e_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_e_prod_update_bool_fun$3',type,fmb_'F_e_prod_update_bool_fun$'_3:'F_e_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_e_prod_update_bool_fun$4',type,fmb_'F_e_prod_update_bool_fun$'_4:'F_e_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_e_prod_update_bool_fun$'] : (
% 48.73/7.40 X = fmb_'F_e_prod_update_bool_fun$'_1 | X = fmb_'F_e_prod_update_bool_fun$'_2 | X = fmb_'F_e_prod_update_bool_fun$'_3 | X = fmb_'F_e_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_e_prod_update_bool_fun$'_1 != fmb_'F_e_prod_update_bool_fun$'_2 & fmb_'F_e_prod_update_bool_fun$'_1 != fmb_'F_e_prod_update_bool_fun$'_3 & fmb_'F_e_prod_update_bool_fun$'_1 != fmb_'F_e_prod_update_bool_fun$'_4 & fmb_'F_e_prod_update_bool_fun$'_2 != fmb_'F_e_prod_update_bool_fun$'_3 & fmb_'F_e_prod_update_bool_fun$'_2 != fmb_'F_e_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'F_e_prod_update_bool_fun$'_3 != fmb_'F_e_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_e_prod_update$',type,'E_e_prod_update$':$tType).
% 48.73/7.40 tff('declare_E_e_prod_update$1',type,fmb_'E_e_prod_update$'_1:'E_e_prod_update$').
% 48.73/7.40 tff('declare_E_e_prod_update$2',type,fmb_'E_e_prod_update$'_2:'E_e_prod_update$').
% 48.73/7.40 tff('declare_E_e_prod_update$3',type,fmb_'E_e_prod_update$'_3:'E_e_prod_update$').
% 48.73/7.40 tff('declare_E_e_prod_update$4',type,fmb_'E_e_prod_update$'_4:'E_e_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_e_prod_update$'] : (
% 48.73/7.40 X = fmb_'E_e_prod_update$'_1 | X = fmb_'E_e_prod_update$'_2 | X = fmb_'E_e_prod_update$'_3 | X = fmb_'E_e_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_e_prod_update$'_1 != fmb_'E_e_prod_update$'_2 & fmb_'E_e_prod_update$'_1 != fmb_'E_e_prod_update$'_3 & fmb_'E_e_prod_update$'_1 != fmb_'E_e_prod_update$'_4 & fmb_'E_e_prod_update$'_2 != fmb_'E_e_prod_update$'_3 & fmb_'E_e_prod_update$'_2 != fmb_'E_e_prod_update$'_4 &
% 48.73/7.40 fmb_'E_e_prod_update$'_3 != fmb_'E_e_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_e_b_prod_update_fun$',type,'A_update_e_b_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_e_b_prod_update_fun$1',type,fmb_'A_update_e_b_prod_update_fun$'_1:'A_update_e_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_b_prod_update_fun$2',type,fmb_'A_update_e_b_prod_update_fun$'_2:'A_update_e_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_b_prod_update_fun$3',type,fmb_'A_update_e_b_prod_update_fun$'_3:'A_update_e_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_b_prod_update_fun$4',type,fmb_'A_update_e_b_prod_update_fun$'_4:'A_update_e_b_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_e_b_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_e_b_prod_update_fun$'_1 | X = fmb_'A_update_e_b_prod_update_fun$'_2 | X = fmb_'A_update_e_b_prod_update_fun$'_3 | X = fmb_'A_update_e_b_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_e_b_prod_update_fun$'_1 != fmb_'A_update_e_b_prod_update_fun$'_2 & fmb_'A_update_e_b_prod_update_fun$'_1 != fmb_'A_update_e_b_prod_update_fun$'_3 & fmb_'A_update_e_b_prod_update_fun$'_1 != fmb_'A_update_e_b_prod_update_fun$'_4 & fmb_'A_update_e_b_prod_update_fun$'_2 != fmb_'A_update_e_b_prod_update_fun$'_3 & fmb_'A_update_e_b_prod_update_fun$'_2 != fmb_'A_update_e_b_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_e_b_prod_update_fun$'_3 != fmb_'A_update_e_b_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_f_prod_update$',type,'D_f_prod_update$':$tType).
% 48.73/7.40 tff('declare_D_f_prod_update$1',type,fmb_'D_f_prod_update$'_1:'D_f_prod_update$').
% 48.73/7.40 tff('declare_D_f_prod_update$2',type,fmb_'D_f_prod_update$'_2:'D_f_prod_update$').
% 48.73/7.40 tff('declare_D_f_prod_update$3',type,fmb_'D_f_prod_update$'_3:'D_f_prod_update$').
% 48.73/7.40 tff('declare_D_f_prod_update$4',type,fmb_'D_f_prod_update$'_4:'D_f_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_f_prod_update$'] : (
% 48.73/7.40 X = fmb_'D_f_prod_update$'_1 | X = fmb_'D_f_prod_update$'_2 | X = fmb_'D_f_prod_update$'_3 | X = fmb_'D_f_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D_f_prod_update$'_1 != fmb_'D_f_prod_update$'_2 & fmb_'D_f_prod_update$'_1 != fmb_'D_f_prod_update$'_3 & fmb_'D_f_prod_update$'_1 != fmb_'D_f_prod_update$'_4 & fmb_'D_f_prod_update$'_2 != fmb_'D_f_prod_update$'_3 & fmb_'D_f_prod_update$'_2 != fmb_'D_f_prod_update$'_4 &
% 48.73/7.40 fmb_'D_f_prod_update$'_3 != fmb_'D_f_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$',type,'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$1',type,'uxh$':'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$2',type,fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2:'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$3',type,fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3:'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$4',type,fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_4:'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'] : (
% 48.73/7.40 X = 'uxh$' | X = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uxh$' != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2 & 'uxh$' != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3 & 'uxh$' != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_4 & fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_update_fun$',type,'E_f_g_prod_prod_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_update_fun$1',type,fmb_'E_f_g_prod_prod_update_b_update_fun$'_1:'E_f_g_prod_prod_update_b_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_update_fun$2',type,fmb_'E_f_g_prod_prod_update_b_update_fun$'_2:'E_f_g_prod_prod_update_b_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_update_fun$3',type,fmb_'E_f_g_prod_prod_update_b_update_fun$'_3:'E_f_g_prod_prod_update_b_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_b_update_fun$4',type,fmb_'E_f_g_prod_prod_update_b_update_fun$'_4:'E_f_g_prod_prod_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_f_g_prod_prod_update_b_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_b_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_b_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_b_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_b_update_fun$'_2 & fmb_'E_f_g_prod_prod_update_b_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_b_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_b_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_b_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_b_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_b_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_b_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_b_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_e_f_g_prod_prod_update_fun$',type,'E_update_e_f_g_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_update_e_f_g_prod_prod_update_fun$1',type,'uxj$':'E_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_update_e_f_g_prod_prod_update_fun$2',type,fmb_'E_update_e_f_g_prod_prod_update_fun$'_2:'E_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_update_e_f_g_prod_prod_update_fun$3',type,fmb_'E_update_e_f_g_prod_prod_update_fun$'_3:'E_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_update_e_f_g_prod_prod_update_fun$4',type,fmb_'E_update_e_f_g_prod_prod_update_fun$'_4:'E_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_e_f_g_prod_prod_update_fun$'] : (
% 48.73/7.40 X = 'uxj$' | X = fmb_'E_update_e_f_g_prod_prod_update_fun$'_2 | X = fmb_'E_update_e_f_g_prod_prod_update_fun$'_3 | X = fmb_'E_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uxj$' != fmb_'E_update_e_f_g_prod_prod_update_fun$'_2 & 'uxj$' != fmb_'E_update_e_f_g_prod_prod_update_fun$'_3 & 'uxj$' != fmb_'E_update_e_f_g_prod_prod_update_fun$'_4 & fmb_'E_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'E_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'E_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'E_update_e_f_g_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'E_update_e_f_g_prod_prod_update_fun$'_3 != fmb_'E_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_d_update_fun$',type,'A_a_prod_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_d_update_fun$1',type,fmb_'A_a_prod_update_d_update_fun$'_1:'A_a_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_d_update_fun$2',type,fmb_'A_a_prod_update_d_update_fun$'_2:'A_a_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_d_update_fun$3',type,fmb_'A_a_prod_update_d_update_fun$'_3:'A_a_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_d_update_fun$4',type,fmb_'A_a_prod_update_d_update_fun$'_4:'A_a_prod_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_d_update_fun$'_1 | X = fmb_'A_a_prod_update_d_update_fun$'_2 | X = fmb_'A_a_prod_update_d_update_fun$'_3 | X = fmb_'A_a_prod_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_d_update_fun$'_1 != fmb_'A_a_prod_update_d_update_fun$'_2 & fmb_'A_a_prod_update_d_update_fun$'_1 != fmb_'A_a_prod_update_d_update_fun$'_3 & fmb_'A_a_prod_update_d_update_fun$'_1 != fmb_'A_a_prod_update_d_update_fun$'_4 & fmb_'A_a_prod_update_d_update_fun$'_2 != fmb_'A_a_prod_update_d_update_fun$'_3 & fmb_'A_a_prod_update_d_update_fun$'_2 != fmb_'A_a_prod_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_d_update_fun$'_3 != fmb_'A_a_prod_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_update_set$',type,'B_c_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_update_set$1',type,'top$i':'B_c_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_update_set$'] : (
% 48.73/7.40 X = 'top$i'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$',type,'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$1',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_1:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$2',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_2:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$3',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_3:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$4',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_4:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'] : (
% 48.73/7.40 X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_1 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_2 & fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_1 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_3 & fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_1 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_4 & fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_2 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_3 & fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_2 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_3 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update$',type,'E_update$':$tType).
% 48.73/7.40 tff('declare_E_update$1',type,'id_update$g':'E_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update$'] : (
% 48.73/7.40 X = 'id_update$g'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_d_update_fun$',type,'B_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_update_d_update_fun$1',type,fmb_'B_update_d_update_fun$'_1:'B_update_d_update_fun$').
% 48.73/7.40 tff('declare_B_update_d_update_fun$2',type,fmb_'B_update_d_update_fun$'_2:'B_update_d_update_fun$').
% 48.73/7.40 tff('declare_B_update_d_update_fun$3',type,fmb_'B_update_d_update_fun$'_3:'B_update_d_update_fun$').
% 48.73/7.40 tff('declare_B_update_d_update_fun$4',type,fmb_'B_update_d_update_fun$'_4:'B_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_update_d_update_fun$'_1 | X = fmb_'B_update_d_update_fun$'_2 | X = fmb_'B_update_d_update_fun$'_3 | X = fmb_'B_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_update_d_update_fun$'_1 != fmb_'B_update_d_update_fun$'_2 & fmb_'B_update_d_update_fun$'_1 != fmb_'B_update_d_update_fun$'_3 & fmb_'B_update_d_update_fun$'_1 != fmb_'B_update_d_update_fun$'_4 & fmb_'B_update_d_update_fun$'_2 != fmb_'B_update_d_update_fun$'_3 & fmb_'B_update_d_update_fun$'_2 != fmb_'B_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'B_update_d_update_fun$'_3 != fmb_'B_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_update_d_update_fun$',type,'D_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_D_update_d_update_fun$1',type,fmb_'D_update_d_update_fun$'_1:'D_update_d_update_fun$').
% 48.73/7.40 tff('declare_D_update_d_update_fun$2',type,fmb_'D_update_d_update_fun$'_2:'D_update_d_update_fun$').
% 48.73/7.40 tff('declare_D_update_d_update_fun$3',type,fmb_'D_update_d_update_fun$'_3:'D_update_d_update_fun$').
% 48.73/7.40 tff('declare_D_update_d_update_fun$4',type,fmb_'D_update_d_update_fun$'_4:'D_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'D_update_d_update_fun$'_1 | X = fmb_'D_update_d_update_fun$'_2 | X = fmb_'D_update_d_update_fun$'_3 | X = fmb_'D_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D_update_d_update_fun$'_1 != fmb_'D_update_d_update_fun$'_2 & fmb_'D_update_d_update_fun$'_1 != fmb_'D_update_d_update_fun$'_3 & fmb_'D_update_d_update_fun$'_1 != fmb_'D_update_d_update_fun$'_4 & fmb_'D_update_d_update_fun$'_2 != fmb_'D_update_d_update_fun$'_3 & fmb_'D_update_d_update_fun$'_2 != fmb_'D_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'D_update_d_update_fun$'_3 != fmb_'D_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$',type,'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$1',type,'top$o':'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$2',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'] : (
% 48.73/7.40 X = 'top$o' | X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'top$o' != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_a_update_fun$',type,'A_update_a_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_a_update_fun$1',type,fmb_'A_update_a_update_fun$'_1:'A_update_a_update_fun$').
% 48.73/7.40 tff('declare_A_update_a_update_fun$2',type,fmb_'A_update_a_update_fun$'_2:'A_update_a_update_fun$').
% 48.73/7.40 tff('declare_A_update_a_update_fun$3',type,fmb_'A_update_a_update_fun$'_3:'A_update_a_update_fun$').
% 48.73/7.40 tff('declare_A_update_a_update_fun$4',type,fmb_'A_update_a_update_fun$'_4:'A_update_a_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_a_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_a_update_fun$'_1 | X = fmb_'A_update_a_update_fun$'_2 | X = fmb_'A_update_a_update_fun$'_3 | X = fmb_'A_update_a_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_a_update_fun$'_1 != fmb_'A_update_a_update_fun$'_2 & fmb_'A_update_a_update_fun$'_1 != fmb_'A_update_a_update_fun$'_3 & fmb_'A_update_a_update_fun$'_1 != fmb_'A_update_a_update_fun$'_4 & fmb_'A_update_a_update_fun$'_2 != fmb_'A_update_a_update_fun$'_3 & fmb_'A_update_a_update_fun$'_2 != fmb_'A_update_a_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_a_update_fun$'_3 != fmb_'A_update_a_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_d_prod_update$',type,'B_d_prod_update$':$tType).
% 48.73/7.40 tff('declare_B_d_prod_update$1',type,fmb_'B_d_prod_update$'_1:'B_d_prod_update$').
% 48.73/7.40 tff('declare_B_d_prod_update$2',type,fmb_'B_d_prod_update$'_2:'B_d_prod_update$').
% 48.73/7.40 tff('declare_B_d_prod_update$3',type,fmb_'B_d_prod_update$'_3:'B_d_prod_update$').
% 48.73/7.40 tff('declare_B_d_prod_update$4',type,fmb_'B_d_prod_update$'_4:'B_d_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_d_prod_update$'] : (
% 48.73/7.40 X = fmb_'B_d_prod_update$'_1 | X = fmb_'B_d_prod_update$'_2 | X = fmb_'B_d_prod_update$'_3 | X = fmb_'B_d_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_d_prod_update$'_1 != fmb_'B_d_prod_update$'_2 & fmb_'B_d_prod_update$'_1 != fmb_'B_d_prod_update$'_3 & fmb_'B_d_prod_update$'_1 != fmb_'B_d_prod_update$'_4 & fmb_'B_d_prod_update$'_2 != fmb_'B_d_prod_update$'_3 & fmb_'B_d_prod_update$'_2 != fmb_'B_d_prod_update$'_4 &
% 48.73/7.40 fmb_'B_d_prod_update$'_3 != fmb_'B_d_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_b_update_fun$',type,'A_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_b_update_fun$1',type,fmb_'A_update_b_update_fun$'_1:'A_update_b_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_update_fun$2',type,fmb_'A_update_b_update_fun$'_2:'A_update_b_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_update_fun$3',type,fmb_'A_update_b_update_fun$'_3:'A_update_b_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_update_fun$4',type,fmb_'A_update_b_update_fun$'_4:'A_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_b_update_fun$'_1 | X = fmb_'A_update_b_update_fun$'_2 | X = fmb_'A_update_b_update_fun$'_3 | X = fmb_'A_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_b_update_fun$'_1 != fmb_'A_update_b_update_fun$'_2 & fmb_'A_update_b_update_fun$'_1 != fmb_'A_update_b_update_fun$'_3 & fmb_'A_update_b_update_fun$'_1 != fmb_'A_update_b_update_fun$'_4 & fmb_'A_update_b_update_fun$'_2 != fmb_'A_update_b_update_fun$'_3 & fmb_'A_update_b_update_fun$'_2 != fmb_'A_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_b_update_fun$'_3 != fmb_'A_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_update_c_update_fun$',type,'D_update_c_update_fun$':$tType).
% 48.73/7.40 tff('declare_D_update_c_update_fun$1',type,fmb_'D_update_c_update_fun$'_1:'D_update_c_update_fun$').
% 48.73/7.40 tff('declare_D_update_c_update_fun$2',type,fmb_'D_update_c_update_fun$'_2:'D_update_c_update_fun$').
% 48.73/7.40 tff('declare_D_update_c_update_fun$3',type,fmb_'D_update_c_update_fun$'_3:'D_update_c_update_fun$').
% 48.73/7.40 tff('declare_D_update_c_update_fun$4',type,fmb_'D_update_c_update_fun$'_4:'D_update_c_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_update_c_update_fun$'] : (
% 48.73/7.40 X = fmb_'D_update_c_update_fun$'_1 | X = fmb_'D_update_c_update_fun$'_2 | X = fmb_'D_update_c_update_fun$'_3 | X = fmb_'D_update_c_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D_update_c_update_fun$'_1 != fmb_'D_update_c_update_fun$'_2 & fmb_'D_update_c_update_fun$'_1 != fmb_'D_update_c_update_fun$'_3 & fmb_'D_update_c_update_fun$'_1 != fmb_'D_update_c_update_fun$'_4 & fmb_'D_update_c_update_fun$'_2 != fmb_'D_update_c_update_fun$'_3 & fmb_'D_update_c_update_fun$'_2 != fmb_'D_update_c_update_fun$'_4 &
% 48.73/7.40 fmb_'D_update_c_update_fun$'_3 != fmb_'D_update_c_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_update_d_update_fun$',type,'B_c_prod_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_update_d_update_fun$1',type,fmb_'B_c_prod_update_d_update_fun$'_1:'B_c_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_d_update_fun$2',type,fmb_'B_c_prod_update_d_update_fun$'_2:'B_c_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_d_update_fun$3',type,fmb_'B_c_prod_update_d_update_fun$'_3:'B_c_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_d_update_fun$4',type,fmb_'B_c_prod_update_d_update_fun$'_4:'B_c_prod_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_c_prod_update_d_update_fun$'_1 | X = fmb_'B_c_prod_update_d_update_fun$'_2 | X = fmb_'B_c_prod_update_d_update_fun$'_3 | X = fmb_'B_c_prod_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_c_prod_update_d_update_fun$'_1 != fmb_'B_c_prod_update_d_update_fun$'_2 & fmb_'B_c_prod_update_d_update_fun$'_1 != fmb_'B_c_prod_update_d_update_fun$'_3 & fmb_'B_c_prod_update_d_update_fun$'_1 != fmb_'B_c_prod_update_d_update_fun$'_4 & fmb_'B_c_prod_update_d_update_fun$'_2 != fmb_'B_c_prod_update_d_update_fun$'_3 & fmb_'B_c_prod_update_d_update_fun$'_2 != fmb_'B_c_prod_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'B_c_prod_update_d_update_fun$'_3 != fmb_'B_c_prod_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_b_d_prod_update_fun$',type,'A_update_b_d_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_b_d_prod_update_fun$1',type,fmb_'A_update_b_d_prod_update_fun$'_1:'A_update_b_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_d_prod_update_fun$2',type,fmb_'A_update_b_d_prod_update_fun$'_2:'A_update_b_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_d_prod_update_fun$3',type,fmb_'A_update_b_d_prod_update_fun$'_3:'A_update_b_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_d_prod_update_fun$4',type,fmb_'A_update_b_d_prod_update_fun$'_4:'A_update_b_d_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_b_d_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_b_d_prod_update_fun$'_1 | X = fmb_'A_update_b_d_prod_update_fun$'_2 | X = fmb_'A_update_b_d_prod_update_fun$'_3 | X = fmb_'A_update_b_d_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_b_d_prod_update_fun$'_1 != fmb_'A_update_b_d_prod_update_fun$'_2 & fmb_'A_update_b_d_prod_update_fun$'_1 != fmb_'A_update_b_d_prod_update_fun$'_3 & fmb_'A_update_b_d_prod_update_fun$'_1 != fmb_'A_update_b_d_prod_update_fun$'_4 & fmb_'A_update_b_d_prod_update_fun$'_2 != fmb_'A_update_b_d_prod_update_fun$'_3 & fmb_'A_update_b_d_prod_update_fun$'_2 != fmb_'A_update_b_d_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_b_d_prod_update_fun$'_3 != fmb_'A_update_b_d_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update$',type,'A_b_c_prod_prod_update$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update$1',type,'id_update$a':'A_b_c_prod_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_update$'] : (
% 48.73/7.40 X = 'id_update$a'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_update_a_b_c_prod_prod_update_fun$',type,'B_c_prod_update_a_b_c_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_update_a_b_c_prod_prod_update_fun$1',type,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1:'B_c_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_a_b_c_prod_prod_update_fun$2',type,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2:'B_c_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_a_b_c_prod_prod_update_fun$3',type,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3:'B_c_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_a_b_c_prod_prod_update_fun$4',type,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4:'B_c_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_update_a_b_c_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1 | X = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2 | X = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3 | X = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2 & fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4 & fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3 != fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_prod_update_d_update_fun$',type,'A_b_c_prod_prod_a_prod_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_prod_update_d_update_fun$1',type,fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_1:'A_b_c_prod_prod_a_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_prod_update_d_update_fun$2',type,fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_2:'A_b_c_prod_prod_a_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_prod_update_d_update_fun$3',type,fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_3:'A_b_c_prod_prod_a_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_prod_update_d_update_fun$4',type,fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_4:'A_b_c_prod_prod_a_prod_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_a_prod_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_1 | X = fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_2 & fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_3 & fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_4 & fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_2 != fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_3 & fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_2 != fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_3 != fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_e_d_prod_update_fun$',type,'A_a_prod_update_e_d_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_e_d_prod_update_fun$1',type,fmb_'A_a_prod_update_e_d_prod_update_fun$'_1:'A_a_prod_update_e_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_d_prod_update_fun$2',type,fmb_'A_a_prod_update_e_d_prod_update_fun$'_2:'A_a_prod_update_e_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_d_prod_update_fun$3',type,fmb_'A_a_prod_update_e_d_prod_update_fun$'_3:'A_a_prod_update_e_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_d_prod_update_fun$4',type,fmb_'A_a_prod_update_e_d_prod_update_fun$'_4:'A_a_prod_update_e_d_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_e_d_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_e_d_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_e_d_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_e_d_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_e_d_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_e_d_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_d_prod_update_fun$'_2 & fmb_'A_a_prod_update_e_d_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_d_prod_update_fun$'_3 & fmb_'A_a_prod_update_e_d_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_d_prod_update_fun$'_4 & fmb_'A_a_prod_update_e_d_prod_update_fun$'_2 != fmb_'A_a_prod_update_e_d_prod_update_fun$'_3 & fmb_'A_a_prod_update_e_d_prod_update_fun$'_2 != fmb_'A_a_prod_update_e_d_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_e_d_prod_update_fun$'_3 != fmb_'A_a_prod_update_e_d_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_c_update_fun$',type,'B_update_c_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_update_c_update_fun$1',type,fmb_'B_update_c_update_fun$'_1:'B_update_c_update_fun$').
% 48.73/7.40 tff('declare_B_update_c_update_fun$2',type,fmb_'B_update_c_update_fun$'_2:'B_update_c_update_fun$').
% 48.73/7.40 tff('declare_B_update_c_update_fun$3',type,fmb_'B_update_c_update_fun$'_3:'B_update_c_update_fun$').
% 48.73/7.40 tff('declare_B_update_c_update_fun$4',type,fmb_'B_update_c_update_fun$'_4:'B_update_c_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_c_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_update_c_update_fun$'_1 | X = fmb_'B_update_c_update_fun$'_2 | X = fmb_'B_update_c_update_fun$'_3 | X = fmb_'B_update_c_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_update_c_update_fun$'_1 != fmb_'B_update_c_update_fun$'_2 & fmb_'B_update_c_update_fun$'_1 != fmb_'B_update_c_update_fun$'_3 & fmb_'B_update_c_update_fun$'_1 != fmb_'B_update_c_update_fun$'_4 & fmb_'B_update_c_update_fun$'_2 != fmb_'B_update_c_update_fun$'_3 & fmb_'B_update_c_update_fun$'_2 != fmb_'B_update_c_update_fun$'_4 &
% 48.73/7.40 fmb_'B_update_c_update_fun$'_3 != fmb_'B_update_c_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_C_update_b_update_fun$',type,'C_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_C_update_b_update_fun$1',type,fmb_'C_update_b_update_fun$'_1:'C_update_b_update_fun$').
% 48.73/7.40 tff('declare_C_update_b_update_fun$2',type,fmb_'C_update_b_update_fun$'_2:'C_update_b_update_fun$').
% 48.73/7.40 tff('declare_C_update_b_update_fun$3',type,fmb_'C_update_b_update_fun$'_3:'C_update_b_update_fun$').
% 48.73/7.40 tff('declare_C_update_b_update_fun$4',type,fmb_'C_update_b_update_fun$'_4:'C_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'C_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'C_update_b_update_fun$'_1 | X = fmb_'C_update_b_update_fun$'_2 | X = fmb_'C_update_b_update_fun$'_3 | X = fmb_'C_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'C_update_b_update_fun$'_1 != fmb_'C_update_b_update_fun$'_2 & fmb_'C_update_b_update_fun$'_1 != fmb_'C_update_b_update_fun$'_3 & fmb_'C_update_b_update_fun$'_1 != fmb_'C_update_b_update_fun$'_4 & fmb_'C_update_b_update_fun$'_2 != fmb_'C_update_b_update_fun$'_3 & fmb_'C_update_b_update_fun$'_2 != fmb_'C_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'C_update_b_update_fun$'_3 != fmb_'C_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_C_update_bool_fun$',type,'C_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_C_update_bool_fun$1',type,'top$r':'C_update_bool_fun$').
% 48.73/7.40 tff('declare_C_update_bool_fun$2',type,fmb_'C_update_bool_fun$'_2:'C_update_bool_fun$').
% 48.73/7.40 tff('declare_C_update_bool_fun$3',type,fmb_'C_update_bool_fun$'_3:'C_update_bool_fun$').
% 48.73/7.40 tff('declare_C_update_bool_fun$4',type,fmb_'C_update_bool_fun$'_4:'C_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'C_update_bool_fun$'] : (
% 48.73/7.40 X = 'top$r' | X = fmb_'C_update_bool_fun$'_2 | X = fmb_'C_update_bool_fun$'_3 | X = fmb_'C_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'top$r' != fmb_'C_update_bool_fun$'_2 & 'top$r' != fmb_'C_update_bool_fun$'_3 & 'top$r' != fmb_'C_update_bool_fun$'_4 & fmb_'C_update_bool_fun$'_2 != fmb_'C_update_bool_fun$'_3 & fmb_'C_update_bool_fun$'_2 != fmb_'C_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'C_update_bool_fun$'_3 != fmb_'C_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_e_update_fun$',type,'A_a_prod_update_e_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_e_update_fun$1',type,fmb_'A_a_prod_update_e_update_fun$'_1:'A_a_prod_update_e_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_update_fun$2',type,fmb_'A_a_prod_update_e_update_fun$'_2:'A_a_prod_update_e_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_update_fun$3',type,fmb_'A_a_prod_update_e_update_fun$'_3:'A_a_prod_update_e_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_update_fun$4',type,fmb_'A_a_prod_update_e_update_fun$'_4:'A_a_prod_update_e_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_e_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_e_update_fun$'_1 | X = fmb_'A_a_prod_update_e_update_fun$'_2 | X = fmb_'A_a_prod_update_e_update_fun$'_3 | X = fmb_'A_a_prod_update_e_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_e_update_fun$'_1 != fmb_'A_a_prod_update_e_update_fun$'_2 & fmb_'A_a_prod_update_e_update_fun$'_1 != fmb_'A_a_prod_update_e_update_fun$'_3 & fmb_'A_a_prod_update_e_update_fun$'_1 != fmb_'A_a_prod_update_e_update_fun$'_4 & fmb_'A_a_prod_update_e_update_fun$'_2 != fmb_'A_a_prod_update_e_update_fun$'_3 & fmb_'A_a_prod_update_e_update_fun$'_2 != fmb_'A_a_prod_update_e_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_e_update_fun$'_3 != fmb_'A_a_prod_update_e_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_d_e_prod_update_fun$',type,'A_update_d_e_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_d_e_prod_update_fun$1',type,fmb_'A_update_d_e_prod_update_fun$'_1:'A_update_d_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_e_prod_update_fun$2',type,fmb_'A_update_d_e_prod_update_fun$'_2:'A_update_d_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_e_prod_update_fun$3',type,fmb_'A_update_d_e_prod_update_fun$'_3:'A_update_d_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_e_prod_update_fun$4',type,fmb_'A_update_d_e_prod_update_fun$'_4:'A_update_d_e_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_d_e_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_d_e_prod_update_fun$'_1 | X = fmb_'A_update_d_e_prod_update_fun$'_2 | X = fmb_'A_update_d_e_prod_update_fun$'_3 | X = fmb_'A_update_d_e_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_d_e_prod_update_fun$'_1 != fmb_'A_update_d_e_prod_update_fun$'_2 & fmb_'A_update_d_e_prod_update_fun$'_1 != fmb_'A_update_d_e_prod_update_fun$'_3 & fmb_'A_update_d_e_prod_update_fun$'_1 != fmb_'A_update_d_e_prod_update_fun$'_4 & fmb_'A_update_d_e_prod_update_fun$'_2 != fmb_'A_update_d_e_prod_update_fun$'_3 & fmb_'A_update_d_e_prod_update_fun$'_2 != fmb_'A_update_d_e_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_d_e_prod_update_fun$'_3 != fmb_'A_update_d_e_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_C_update$',type,'C_update$':$tType).
% 48.73/7.40 tff('declare_C_update$1',type,'id_update$e':'C_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'C_update$'] : (
% 48.73/7.40 X = 'id_update$e'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_d_prod_update_set$',type,'D_d_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_D_d_prod_update_set$1',type,fmb_'D_d_prod_update_set$'_1:'D_d_prod_update_set$').
% 48.73/7.40 tff('declare_D_d_prod_update_set$2',type,fmb_'D_d_prod_update_set$'_2:'D_d_prod_update_set$').
% 48.73/7.40 tff('declare_D_d_prod_update_set$3',type,fmb_'D_d_prod_update_set$'_3:'D_d_prod_update_set$').
% 48.73/7.40 tff('declare_D_d_prod_update_set$4',type,fmb_'D_d_prod_update_set$'_4:'D_d_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_d_prod_update_set$'] : (
% 48.73/7.40 X = fmb_'D_d_prod_update_set$'_1 | X = fmb_'D_d_prod_update_set$'_2 | X = fmb_'D_d_prod_update_set$'_3 | X = fmb_'D_d_prod_update_set$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D_d_prod_update_set$'_1 != fmb_'D_d_prod_update_set$'_2 & fmb_'D_d_prod_update_set$'_1 != fmb_'D_d_prod_update_set$'_3 & fmb_'D_d_prod_update_set$'_1 != fmb_'D_d_prod_update_set$'_4 & fmb_'D_d_prod_update_set$'_2 != fmb_'D_d_prod_update_set$'_3 & fmb_'D_d_prod_update_set$'_2 != fmb_'D_d_prod_update_set$'_4 &
% 48.73/7.40 fmb_'D_d_prod_update_set$'_3 != fmb_'D_d_prod_update_set$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_b_prod_update$',type,'F_b_prod_update$':$tType).
% 48.73/7.40 tff('declare_F_b_prod_update$1',type,fmb_'F_b_prod_update$'_1:'F_b_prod_update$').
% 48.73/7.40 tff('declare_F_b_prod_update$2',type,fmb_'F_b_prod_update$'_2:'F_b_prod_update$').
% 48.73/7.40 tff('declare_F_b_prod_update$3',type,fmb_'F_b_prod_update$'_3:'F_b_prod_update$').
% 48.73/7.40 tff('declare_F_b_prod_update$4',type,fmb_'F_b_prod_update$'_4:'F_b_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_b_prod_update$'] : (
% 48.73/7.40 X = fmb_'F_b_prod_update$'_1 | X = fmb_'F_b_prod_update$'_2 | X = fmb_'F_b_prod_update$'_3 | X = fmb_'F_b_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_b_prod_update$'_1 != fmb_'F_b_prod_update$'_2 & fmb_'F_b_prod_update$'_1 != fmb_'F_b_prod_update$'_3 & fmb_'F_b_prod_update$'_1 != fmb_'F_b_prod_update$'_4 & fmb_'F_b_prod_update$'_2 != fmb_'F_b_prod_update$'_3 & fmb_'F_b_prod_update$'_2 != fmb_'F_b_prod_update$'_4 &
% 48.73/7.40 fmb_'F_b_prod_update$'_3 != fmb_'F_b_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_b_prod_update_bool_fun$',type,'F_b_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_F_b_prod_update_bool_fun$1',type,fmb_'F_b_prod_update_bool_fun$'_1:'F_b_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_b_prod_update_bool_fun$2',type,fmb_'F_b_prod_update_bool_fun$'_2:'F_b_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_b_prod_update_bool_fun$3',type,fmb_'F_b_prod_update_bool_fun$'_3:'F_b_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_b_prod_update_bool_fun$4',type,fmb_'F_b_prod_update_bool_fun$'_4:'F_b_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_b_prod_update_bool_fun$'] : (
% 48.73/7.40 X = fmb_'F_b_prod_update_bool_fun$'_1 | X = fmb_'F_b_prod_update_bool_fun$'_2 | X = fmb_'F_b_prod_update_bool_fun$'_3 | X = fmb_'F_b_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_b_prod_update_bool_fun$'_1 != fmb_'F_b_prod_update_bool_fun$'_2 & fmb_'F_b_prod_update_bool_fun$'_1 != fmb_'F_b_prod_update_bool_fun$'_3 & fmb_'F_b_prod_update_bool_fun$'_1 != fmb_'F_b_prod_update_bool_fun$'_4 & fmb_'F_b_prod_update_bool_fun$'_2 != fmb_'F_b_prod_update_bool_fun$'_3 & fmb_'F_b_prod_update_bool_fun$'_2 != fmb_'F_b_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'F_b_prod_update_bool_fun$'_3 != fmb_'F_b_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_f_update_fun$',type,'A_a_prod_update_f_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_f_update_fun$1',type,fmb_'A_a_prod_update_f_update_fun$'_1:'A_a_prod_update_f_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_update_fun$2',type,fmb_'A_a_prod_update_f_update_fun$'_2:'A_a_prod_update_f_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_update_fun$3',type,fmb_'A_a_prod_update_f_update_fun$'_3:'A_a_prod_update_f_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_update_fun$4',type,fmb_'A_a_prod_update_f_update_fun$'_4:'A_a_prod_update_f_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_f_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_f_update_fun$'_1 | X = fmb_'A_a_prod_update_f_update_fun$'_2 | X = fmb_'A_a_prod_update_f_update_fun$'_3 | X = fmb_'A_a_prod_update_f_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_f_update_fun$'_1 != fmb_'A_a_prod_update_f_update_fun$'_2 & fmb_'A_a_prod_update_f_update_fun$'_1 != fmb_'A_a_prod_update_f_update_fun$'_3 & fmb_'A_a_prod_update_f_update_fun$'_1 != fmb_'A_a_prod_update_f_update_fun$'_4 & fmb_'A_a_prod_update_f_update_fun$'_2 != fmb_'A_a_prod_update_f_update_fun$'_3 & fmb_'A_a_prod_update_f_update_fun$'_2 != fmb_'A_a_prod_update_f_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_f_update_fun$'_3 != fmb_'A_a_prod_update_f_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_d_prod_update$',type,'A_d_prod_update$':$tType).
% 48.73/7.40 tff('declare_A_d_prod_update$1',type,fmb_'A_d_prod_update$'_1:'A_d_prod_update$').
% 48.73/7.40 tff('declare_A_d_prod_update$2',type,fmb_'A_d_prod_update$'_2:'A_d_prod_update$').
% 48.73/7.40 tff('declare_A_d_prod_update$3',type,fmb_'A_d_prod_update$'_3:'A_d_prod_update$').
% 48.73/7.40 tff('declare_A_d_prod_update$4',type,fmb_'A_d_prod_update$'_4:'A_d_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_d_prod_update$'] : (
% 48.73/7.40 X = fmb_'A_d_prod_update$'_1 | X = fmb_'A_d_prod_update$'_2 | X = fmb_'A_d_prod_update$'_3 | X = fmb_'A_d_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_d_prod_update$'_1 != fmb_'A_d_prod_update$'_2 & fmb_'A_d_prod_update$'_1 != fmb_'A_d_prod_update$'_3 & fmb_'A_d_prod_update$'_1 != fmb_'A_d_prod_update$'_4 & fmb_'A_d_prod_update$'_2 != fmb_'A_d_prod_update$'_3 & fmb_'A_d_prod_update$'_2 != fmb_'A_d_prod_update$'_4 &
% 48.73/7.40 fmb_'A_d_prod_update$'_3 != fmb_'A_d_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_g_prod_itself$',type,'F_g_prod_itself$':$tType).
% 48.73/7.40 tff('declare_F_g_prod_itself$1',type,'type$a':'F_g_prod_itself$').
% 48.73/7.40 tff('declare_F_g_prod_itself$2',type,fmb_'F_g_prod_itself$'_2:'F_g_prod_itself$').
% 48.73/7.40 tff('declare_F_g_prod_itself$3',type,fmb_'F_g_prod_itself$'_3:'F_g_prod_itself$').
% 48.73/7.40 tff('declare_F_g_prod_itself$4',type,fmb_'F_g_prod_itself$'_4:'F_g_prod_itself$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_g_prod_itself$'] : (
% 48.73/7.40 X = 'type$a' | X = fmb_'F_g_prod_itself$'_2 | X = fmb_'F_g_prod_itself$'_3 | X = fmb_'F_g_prod_itself$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'type$a' != fmb_'F_g_prod_itself$'_2 & 'type$a' != fmb_'F_g_prod_itself$'_3 & 'type$a' != fmb_'F_g_prod_itself$'_4 & fmb_'F_g_prod_itself$'_2 != fmb_'F_g_prod_itself$'_3 & fmb_'F_g_prod_itself$'_2 != fmb_'F_g_prod_itself$'_4 &
% 48.73/7.40 fmb_'F_g_prod_itself$'_3 != fmb_'F_g_prod_itself$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_f_d_prod_update_fun$',type,'A_a_prod_update_f_d_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_f_d_prod_update_fun$1',type,fmb_'A_a_prod_update_f_d_prod_update_fun$'_1:'A_a_prod_update_f_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_d_prod_update_fun$2',type,fmb_'A_a_prod_update_f_d_prod_update_fun$'_2:'A_a_prod_update_f_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_d_prod_update_fun$3',type,fmb_'A_a_prod_update_f_d_prod_update_fun$'_3:'A_a_prod_update_f_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_d_prod_update_fun$4',type,fmb_'A_a_prod_update_f_d_prod_update_fun$'_4:'A_a_prod_update_f_d_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_f_d_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_f_d_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_f_d_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_f_d_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_f_d_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_f_d_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_d_prod_update_fun$'_2 & fmb_'A_a_prod_update_f_d_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_d_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_d_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_d_prod_update_fun$'_4 & fmb_'A_a_prod_update_f_d_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_d_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_d_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_d_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_f_d_prod_update_fun$'_3 != fmb_'A_a_prod_update_f_d_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_g_prod_update_c_update_fun$',type,'F_g_prod_update_c_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_g_prod_update_c_update_fun$1',type,fmb_'F_g_prod_update_c_update_fun$'_1:'F_g_prod_update_c_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_c_update_fun$2',type,fmb_'F_g_prod_update_c_update_fun$'_2:'F_g_prod_update_c_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_c_update_fun$3',type,fmb_'F_g_prod_update_c_update_fun$'_3:'F_g_prod_update_c_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_c_update_fun$4',type,fmb_'F_g_prod_update_c_update_fun$'_4:'F_g_prod_update_c_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_g_prod_update_c_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_g_prod_update_c_update_fun$'_1 | X = fmb_'F_g_prod_update_c_update_fun$'_2 | X = fmb_'F_g_prod_update_c_update_fun$'_3 | X = fmb_'F_g_prod_update_c_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_g_prod_update_c_update_fun$'_1 != fmb_'F_g_prod_update_c_update_fun$'_2 & fmb_'F_g_prod_update_c_update_fun$'_1 != fmb_'F_g_prod_update_c_update_fun$'_3 & fmb_'F_g_prod_update_c_update_fun$'_1 != fmb_'F_g_prod_update_c_update_fun$'_4 & fmb_'F_g_prod_update_c_update_fun$'_2 != fmb_'F_g_prod_update_c_update_fun$'_3 & fmb_'F_g_prod_update_c_update_fun$'_2 != fmb_'F_g_prod_update_c_update_fun$'_4 &
% 48.73/7.40 fmb_'F_g_prod_update_c_update_fun$'_3 != fmb_'F_g_prod_update_c_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_f_g_prod_update_fun$',type,'A_b_c_prod_prod_update_f_g_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_f_g_prod_update_fun$1',type,fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1:'A_b_c_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_f_g_prod_update_fun$2',type,fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2:'A_b_c_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_f_g_prod_update_fun$3',type,fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3:'A_b_c_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_f_g_prod_update_fun$4',type,fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4:'A_b_c_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_update_f_g_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1 | X = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2 & fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4 & fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3 != fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_G_update_f_g_prod_update_fun$',type,'G_update_f_g_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_G_update_f_g_prod_update_fun$1',type,fmb_'G_update_f_g_prod_update_fun$'_1:'G_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_G_update_f_g_prod_update_fun$2',type,fmb_'G_update_f_g_prod_update_fun$'_2:'G_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_G_update_f_g_prod_update_fun$3',type,fmb_'G_update_f_g_prod_update_fun$'_3:'G_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_G_update_f_g_prod_update_fun$4',type,fmb_'G_update_f_g_prod_update_fun$'_4:'G_update_f_g_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'G_update_f_g_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'G_update_f_g_prod_update_fun$'_1 | X = fmb_'G_update_f_g_prod_update_fun$'_2 | X = fmb_'G_update_f_g_prod_update_fun$'_3 | X = fmb_'G_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'G_update_f_g_prod_update_fun$'_1 != fmb_'G_update_f_g_prod_update_fun$'_2 & fmb_'G_update_f_g_prod_update_fun$'_1 != fmb_'G_update_f_g_prod_update_fun$'_3 & fmb_'G_update_f_g_prod_update_fun$'_1 != fmb_'G_update_f_g_prod_update_fun$'_4 & fmb_'G_update_f_g_prod_update_fun$'_2 != fmb_'G_update_f_g_prod_update_fun$'_3 & fmb_'G_update_f_g_prod_update_fun$'_2 != fmb_'G_update_f_g_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'G_update_f_g_prod_update_fun$'_3 != fmb_'G_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_update_b_update_fun$',type,'F_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_update_b_update_fun$1',type,fmb_'F_update_b_update_fun$'_1:'F_update_b_update_fun$').
% 48.73/7.40 tff('declare_F_update_b_update_fun$2',type,fmb_'F_update_b_update_fun$'_2:'F_update_b_update_fun$').
% 48.73/7.40 tff('declare_F_update_b_update_fun$3',type,fmb_'F_update_b_update_fun$'_3:'F_update_b_update_fun$').
% 48.73/7.40 tff('declare_F_update_b_update_fun$4',type,fmb_'F_update_b_update_fun$'_4:'F_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_update_b_update_fun$'_1 | X = fmb_'F_update_b_update_fun$'_2 | X = fmb_'F_update_b_update_fun$'_3 | X = fmb_'F_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_update_b_update_fun$'_1 != fmb_'F_update_b_update_fun$'_2 & fmb_'F_update_b_update_fun$'_1 != fmb_'F_update_b_update_fun$'_3 & fmb_'F_update_b_update_fun$'_1 != fmb_'F_update_b_update_fun$'_4 & fmb_'F_update_b_update_fun$'_2 != fmb_'F_update_b_update_fun$'_3 & fmb_'F_update_b_update_fun$'_2 != fmb_'F_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'F_update_b_update_fun$'_3 != fmb_'F_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_update_f_update_fun$',type,'F_update_f_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_update_f_update_fun$1',type,fmb_'F_update_f_update_fun$'_1:'F_update_f_update_fun$').
% 48.73/7.40 tff('declare_F_update_f_update_fun$2',type,fmb_'F_update_f_update_fun$'_2:'F_update_f_update_fun$').
% 48.73/7.40 tff('declare_F_update_f_update_fun$3',type,fmb_'F_update_f_update_fun$'_3:'F_update_f_update_fun$').
% 48.73/7.40 tff('declare_F_update_f_update_fun$4',type,fmb_'F_update_f_update_fun$'_4:'F_update_f_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_update_f_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_update_f_update_fun$'_1 | X = fmb_'F_update_f_update_fun$'_2 | X = fmb_'F_update_f_update_fun$'_3 | X = fmb_'F_update_f_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_update_f_update_fun$'_1 != fmb_'F_update_f_update_fun$'_2 & fmb_'F_update_f_update_fun$'_1 != fmb_'F_update_f_update_fun$'_3 & fmb_'F_update_f_update_fun$'_1 != fmb_'F_update_f_update_fun$'_4 & fmb_'F_update_f_update_fun$'_2 != fmb_'F_update_f_update_fun$'_3 & fmb_'F_update_f_update_fun$'_2 != fmb_'F_update_f_update_fun$'_4 &
% 48.73/7.40 fmb_'F_update_f_update_fun$'_3 != fmb_'F_update_f_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_Typerep$',type,'Typerep$':$tType).
% 48.73/7.40 tff('declare_Typerep$1',type,fmb_'Typerep$'_1:'Typerep$').
% 48.73/7.40 tff('declare_Typerep$2',type,fmb_'Typerep$'_2:'Typerep$').
% 48.73/7.40 tff('declare_Typerep$3',type,fmb_'Typerep$'_3:'Typerep$').
% 48.73/7.40 tff('declare_Typerep$4',type,fmb_'Typerep$'_4:'Typerep$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'Typerep$'] : (
% 48.73/7.40 X = fmb_'Typerep$'_1 | X = fmb_'Typerep$'_2 | X = fmb_'Typerep$'_3 | X = fmb_'Typerep$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'Typerep$'_1 != fmb_'Typerep$'_2 & fmb_'Typerep$'_1 != fmb_'Typerep$'_3 & fmb_'Typerep$'_1 != fmb_'Typerep$'_4 & fmb_'Typerep$'_2 != fmb_'Typerep$'_3 & fmb_'Typerep$'_2 != fmb_'Typerep$'_4 &
% 48.73/7.40 fmb_'Typerep$'_3 != fmb_'Typerep$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_a_prod_update_bool_fun$',type,'F_a_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_F_a_prod_update_bool_fun$1',type,fmb_'F_a_prod_update_bool_fun$'_1:'F_a_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_a_prod_update_bool_fun$2',type,fmb_'F_a_prod_update_bool_fun$'_2:'F_a_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_a_prod_update_bool_fun$3',type,fmb_'F_a_prod_update_bool_fun$'_3:'F_a_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_F_a_prod_update_bool_fun$4',type,fmb_'F_a_prod_update_bool_fun$'_4:'F_a_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_a_prod_update_bool_fun$'] : (
% 48.73/7.40 X = fmb_'F_a_prod_update_bool_fun$'_1 | X = fmb_'F_a_prod_update_bool_fun$'_2 | X = fmb_'F_a_prod_update_bool_fun$'_3 | X = fmb_'F_a_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_a_prod_update_bool_fun$'_1 != fmb_'F_a_prod_update_bool_fun$'_2 & fmb_'F_a_prod_update_bool_fun$'_1 != fmb_'F_a_prod_update_bool_fun$'_3 & fmb_'F_a_prod_update_bool_fun$'_1 != fmb_'F_a_prod_update_bool_fun$'_4 & fmb_'F_a_prod_update_bool_fun$'_2 != fmb_'F_a_prod_update_bool_fun$'_3 & fmb_'F_a_prod_update_bool_fun$'_2 != fmb_'F_a_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'F_a_prod_update_bool_fun$'_3 != fmb_'F_a_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$',type,'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$1',type,'uminus$':'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$2',type,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2:'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$3',type,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3:'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$4',type,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4:'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'] : (
% 48.73/7.40 X = 'uminus$' | X = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uminus$' != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2 & 'uminus$' != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3 & 'uminus$' != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4 & fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2 != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3 & fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2 != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3 != fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_C_update_e_update_fun$',type,'C_update_e_update_fun$':$tType).
% 48.73/7.40 tff('declare_C_update_e_update_fun$1',type,fmb_'C_update_e_update_fun$'_1:'C_update_e_update_fun$').
% 48.73/7.40 tff('declare_C_update_e_update_fun$2',type,fmb_'C_update_e_update_fun$'_2:'C_update_e_update_fun$').
% 48.73/7.40 tff('declare_C_update_e_update_fun$3',type,fmb_'C_update_e_update_fun$'_3:'C_update_e_update_fun$').
% 48.73/7.40 tff('declare_C_update_e_update_fun$4',type,fmb_'C_update_e_update_fun$'_4:'C_update_e_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'C_update_e_update_fun$'] : (
% 48.73/7.40 X = fmb_'C_update_e_update_fun$'_1 | X = fmb_'C_update_e_update_fun$'_2 | X = fmb_'C_update_e_update_fun$'_3 | X = fmb_'C_update_e_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'C_update_e_update_fun$'_1 != fmb_'C_update_e_update_fun$'_2 & fmb_'C_update_e_update_fun$'_1 != fmb_'C_update_e_update_fun$'_3 & fmb_'C_update_e_update_fun$'_1 != fmb_'C_update_e_update_fun$'_4 & fmb_'C_update_e_update_fun$'_2 != fmb_'C_update_e_update_fun$'_3 & fmb_'C_update_e_update_fun$'_2 != fmb_'C_update_e_update_fun$'_4 &
% 48.73/7.40 fmb_'C_update_e_update_fun$'_3 != fmb_'C_update_e_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_C_update_g_update_fun$',type,'C_update_g_update_fun$':$tType).
% 48.73/7.40 tff('declare_C_update_g_update_fun$1',type,fmb_'C_update_g_update_fun$'_1:'C_update_g_update_fun$').
% 48.73/7.40 tff('declare_C_update_g_update_fun$2',type,fmb_'C_update_g_update_fun$'_2:'C_update_g_update_fun$').
% 48.73/7.40 tff('declare_C_update_g_update_fun$3',type,fmb_'C_update_g_update_fun$'_3:'C_update_g_update_fun$').
% 48.73/7.40 tff('declare_C_update_g_update_fun$4',type,fmb_'C_update_g_update_fun$'_4:'C_update_g_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'C_update_g_update_fun$'] : (
% 48.73/7.40 X = fmb_'C_update_g_update_fun$'_1 | X = fmb_'C_update_g_update_fun$'_2 | X = fmb_'C_update_g_update_fun$'_3 | X = fmb_'C_update_g_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'C_update_g_update_fun$'_1 != fmb_'C_update_g_update_fun$'_2 & fmb_'C_update_g_update_fun$'_1 != fmb_'C_update_g_update_fun$'_3 & fmb_'C_update_g_update_fun$'_1 != fmb_'C_update_g_update_fun$'_4 & fmb_'C_update_g_update_fun$'_2 != fmb_'C_update_g_update_fun$'_3 & fmb_'C_update_g_update_fun$'_2 != fmb_'C_update_g_update_fun$'_4 &
% 48.73/7.40 fmb_'C_update_g_update_fun$'_3 != fmb_'C_update_g_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_f_update_fun$',type,'E_update_f_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_update_f_update_fun$1',type,fmb_'E_update_f_update_fun$'_1:'E_update_f_update_fun$').
% 48.73/7.40 tff('declare_E_update_f_update_fun$2',type,fmb_'E_update_f_update_fun$'_2:'E_update_f_update_fun$').
% 48.73/7.40 tff('declare_E_update_f_update_fun$3',type,fmb_'E_update_f_update_fun$'_3:'E_update_f_update_fun$').
% 48.73/7.40 tff('declare_E_update_f_update_fun$4',type,fmb_'E_update_f_update_fun$'_4:'E_update_f_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_f_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_update_f_update_fun$'_1 | X = fmb_'E_update_f_update_fun$'_2 | X = fmb_'E_update_f_update_fun$'_3 | X = fmb_'E_update_f_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_update_f_update_fun$'_1 != fmb_'E_update_f_update_fun$'_2 & fmb_'E_update_f_update_fun$'_1 != fmb_'E_update_f_update_fun$'_3 & fmb_'E_update_f_update_fun$'_1 != fmb_'E_update_f_update_fun$'_4 & fmb_'E_update_f_update_fun$'_2 != fmb_'E_update_f_update_fun$'_3 & fmb_'E_update_f_update_fun$'_2 != fmb_'E_update_f_update_fun$'_4 &
% 48.73/7.40 fmb_'E_update_f_update_fun$'_3 != fmb_'E_update_f_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun_bool_fun$',type,'E_f_g_prod_prod_update_bool_fun_bool_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun_bool_fun$1',type,fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1:'E_f_g_prod_prod_update_bool_fun_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun_bool_fun$2',type,fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2:'E_f_g_prod_prod_update_bool_fun_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun_bool_fun$3',type,fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3:'E_f_g_prod_prod_update_bool_fun_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun_bool_fun$4',type,fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4:'E_f_g_prod_prod_update_bool_fun_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_bool_fun_bool_fun$'] : (
% 48.73/7.40 X = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1 != fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2 & fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1 != fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3 & fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1 != fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4 & fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2 != fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3 & fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2 != fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3 != fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_bool_fun$',type,'E_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_E_update_bool_fun$1',type,'top$q':'E_update_bool_fun$').
% 48.73/7.40 tff('declare_E_update_bool_fun$2',type,fmb_'E_update_bool_fun$'_2:'E_update_bool_fun$').
% 48.73/7.40 tff('declare_E_update_bool_fun$3',type,fmb_'E_update_bool_fun$'_3:'E_update_bool_fun$').
% 48.73/7.40 tff('declare_E_update_bool_fun$4',type,fmb_'E_update_bool_fun$'_4:'E_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_bool_fun$'] : (
% 48.73/7.40 X = 'top$q' | X = fmb_'E_update_bool_fun$'_2 | X = fmb_'E_update_bool_fun$'_3 | X = fmb_'E_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'top$q' != fmb_'E_update_bool_fun$'_2 & 'top$q' != fmb_'E_update_bool_fun$'_3 & 'top$q' != fmb_'E_update_bool_fun$'_4 & fmb_'E_update_bool_fun$'_2 != fmb_'E_update_bool_fun$'_3 & fmb_'E_update_bool_fun$'_2 != fmb_'E_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'E_update_bool_fun$'_3 != fmb_'E_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_e_prod_update$',type,'B_e_prod_update$':$tType).
% 48.73/7.40 tff('declare_B_e_prod_update$1',type,fmb_'B_e_prod_update$'_1:'B_e_prod_update$').
% 48.73/7.40 tff('declare_B_e_prod_update$2',type,fmb_'B_e_prod_update$'_2:'B_e_prod_update$').
% 48.73/7.40 tff('declare_B_e_prod_update$3',type,fmb_'B_e_prod_update$'_3:'B_e_prod_update$').
% 48.73/7.40 tff('declare_B_e_prod_update$4',type,fmb_'B_e_prod_update$'_4:'B_e_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_e_prod_update$'] : (
% 48.73/7.40 X = fmb_'B_e_prod_update$'_1 | X = fmb_'B_e_prod_update$'_2 | X = fmb_'B_e_prod_update$'_3 | X = fmb_'B_e_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_e_prod_update$'_1 != fmb_'B_e_prod_update$'_2 & fmb_'B_e_prod_update$'_1 != fmb_'B_e_prod_update$'_3 & fmb_'B_e_prod_update$'_1 != fmb_'B_e_prod_update$'_4 & fmb_'B_e_prod_update$'_2 != fmb_'B_e_prod_update$'_3 & fmb_'B_e_prod_update$'_2 != fmb_'B_e_prod_update$'_4 &
% 48.73/7.40 fmb_'B_e_prod_update$'_3 != fmb_'B_e_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_a_d_prod_update_fun$',type,'A_update_a_d_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_a_d_prod_update_fun$1',type,fmb_'A_update_a_d_prod_update_fun$'_1:'A_update_a_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_a_d_prod_update_fun$2',type,fmb_'A_update_a_d_prod_update_fun$'_2:'A_update_a_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_a_d_prod_update_fun$3',type,fmb_'A_update_a_d_prod_update_fun$'_3:'A_update_a_d_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_a_d_prod_update_fun$4',type,fmb_'A_update_a_d_prod_update_fun$'_4:'A_update_a_d_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_a_d_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_a_d_prod_update_fun$'_1 | X = fmb_'A_update_a_d_prod_update_fun$'_2 | X = fmb_'A_update_a_d_prod_update_fun$'_3 | X = fmb_'A_update_a_d_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_a_d_prod_update_fun$'_1 != fmb_'A_update_a_d_prod_update_fun$'_2 & fmb_'A_update_a_d_prod_update_fun$'_1 != fmb_'A_update_a_d_prod_update_fun$'_3 & fmb_'A_update_a_d_prod_update_fun$'_1 != fmb_'A_update_a_d_prod_update_fun$'_4 & fmb_'A_update_a_d_prod_update_fun$'_2 != fmb_'A_update_a_d_prod_update_fun$'_3 & fmb_'A_update_a_d_prod_update_fun$'_2 != fmb_'A_update_a_d_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_a_d_prod_update_fun$'_3 != fmb_'A_update_a_d_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff(declare_tlbool,type,tlbool:$tType).
% 48.73/7.40 tff(declare_tlbool1,type,tltrue:tlbool).
% 48.73/7.40 tff(declare_tlbool2,type,tlfalse:tlbool).
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:tlbool] : (
% 48.73/7.40 X = tltrue | X = tlfalse
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 tltrue != tlfalse
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_update_b_update_fun$',type,'D_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_D_update_b_update_fun$1',type,fmb_'D_update_b_update_fun$'_1:'D_update_b_update_fun$').
% 48.73/7.40 tff('declare_D_update_b_update_fun$2',type,fmb_'D_update_b_update_fun$'_2:'D_update_b_update_fun$').
% 48.73/7.40 tff('declare_D_update_b_update_fun$3',type,fmb_'D_update_b_update_fun$'_3:'D_update_b_update_fun$').
% 48.73/7.40 tff('declare_D_update_b_update_fun$4',type,fmb_'D_update_b_update_fun$'_4:'D_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'D_update_b_update_fun$'_1 | X = fmb_'D_update_b_update_fun$'_2 | X = fmb_'D_update_b_update_fun$'_3 | X = fmb_'D_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D_update_b_update_fun$'_1 != fmb_'D_update_b_update_fun$'_2 & fmb_'D_update_b_update_fun$'_1 != fmb_'D_update_b_update_fun$'_3 & fmb_'D_update_b_update_fun$'_1 != fmb_'D_update_b_update_fun$'_4 & fmb_'D_update_b_update_fun$'_2 != fmb_'D_update_b_update_fun$'_3 & fmb_'D_update_b_update_fun$'_2 != fmb_'D_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'D_update_b_update_fun$'_3 != fmb_'D_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_b_update_fun$',type,'E_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_update_b_update_fun$1',type,fmb_'E_update_b_update_fun$'_1:'E_update_b_update_fun$').
% 48.73/7.40 tff('declare_E_update_b_update_fun$2',type,fmb_'E_update_b_update_fun$'_2:'E_update_b_update_fun$').
% 48.73/7.40 tff('declare_E_update_b_update_fun$3',type,fmb_'E_update_b_update_fun$'_3:'E_update_b_update_fun$').
% 48.73/7.40 tff('declare_E_update_b_update_fun$4',type,fmb_'E_update_b_update_fun$'_4:'E_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_update_b_update_fun$'_1 | X = fmb_'E_update_b_update_fun$'_2 | X = fmb_'E_update_b_update_fun$'_3 | X = fmb_'E_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_update_b_update_fun$'_1 != fmb_'E_update_b_update_fun$'_2 & fmb_'E_update_b_update_fun$'_1 != fmb_'E_update_b_update_fun$'_3 & fmb_'E_update_b_update_fun$'_1 != fmb_'E_update_b_update_fun$'_4 & fmb_'E_update_b_update_fun$'_2 != fmb_'E_update_b_update_fun$'_3 & fmb_'E_update_b_update_fun$'_2 != fmb_'E_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'E_update_b_update_fun$'_3 != fmb_'E_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_update_a_update_fun$',type,'F_update_a_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_update_a_update_fun$1',type,fmb_'F_update_a_update_fun$'_1:'F_update_a_update_fun$').
% 48.73/7.40 tff('declare_F_update_a_update_fun$2',type,fmb_'F_update_a_update_fun$'_2:'F_update_a_update_fun$').
% 48.73/7.40 tff('declare_F_update_a_update_fun$3',type,fmb_'F_update_a_update_fun$'_3:'F_update_a_update_fun$').
% 48.73/7.40 tff('declare_F_update_a_update_fun$4',type,fmb_'F_update_a_update_fun$'_4:'F_update_a_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_update_a_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_update_a_update_fun$'_1 | X = fmb_'F_update_a_update_fun$'_2 | X = fmb_'F_update_a_update_fun$'_3 | X = fmb_'F_update_a_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_update_a_update_fun$'_1 != fmb_'F_update_a_update_fun$'_2 & fmb_'F_update_a_update_fun$'_1 != fmb_'F_update_a_update_fun$'_3 & fmb_'F_update_a_update_fun$'_1 != fmb_'F_update_a_update_fun$'_4 & fmb_'F_update_a_update_fun$'_2 != fmb_'F_update_a_update_fun$'_3 & fmb_'F_update_a_update_fun$'_2 != fmb_'F_update_a_update_fun$'_4 &
% 48.73/7.40 fmb_'F_update_a_update_fun$'_3 != fmb_'F_update_a_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_update_e_update_fun$',type,'F_update_e_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_update_e_update_fun$1',type,fmb_'F_update_e_update_fun$'_1:'F_update_e_update_fun$').
% 48.73/7.40 tff('declare_F_update_e_update_fun$2',type,fmb_'F_update_e_update_fun$'_2:'F_update_e_update_fun$').
% 48.73/7.40 tff('declare_F_update_e_update_fun$3',type,fmb_'F_update_e_update_fun$'_3:'F_update_e_update_fun$').
% 48.73/7.40 tff('declare_F_update_e_update_fun$4',type,fmb_'F_update_e_update_fun$'_4:'F_update_e_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_update_e_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_update_e_update_fun$'_1 | X = fmb_'F_update_e_update_fun$'_2 | X = fmb_'F_update_e_update_fun$'_3 | X = fmb_'F_update_e_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_update_e_update_fun$'_1 != fmb_'F_update_e_update_fun$'_2 & fmb_'F_update_e_update_fun$'_1 != fmb_'F_update_e_update_fun$'_3 & fmb_'F_update_e_update_fun$'_1 != fmb_'F_update_e_update_fun$'_4 & fmb_'F_update_e_update_fun$'_2 != fmb_'F_update_e_update_fun$'_3 & fmb_'F_update_e_update_fun$'_2 != fmb_'F_update_e_update_fun$'_4 &
% 48.73/7.40 fmb_'F_update_e_update_fun$'_3 != fmb_'F_update_e_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_update_fun$',type,'F_g_prod_update_e_f_g_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_update_fun$1',type,fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1:'F_g_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_update_fun$2',type,fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_2:'F_g_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_update_fun$3',type,fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_3:'F_g_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_F_g_prod_update_e_f_g_prod_prod_update_fun$4',type,fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_4:'F_g_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_g_prod_update_e_f_g_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1 | X = fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_2 | X = fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_3 | X = fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_2 & fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_4 & fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_3 != fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_c_update_fun$',type,'A_update_c_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_c_update_fun$1',type,fmb_'A_update_c_update_fun$'_1:'A_update_c_update_fun$').
% 48.73/7.40 tff('declare_A_update_c_update_fun$2',type,fmb_'A_update_c_update_fun$'_2:'A_update_c_update_fun$').
% 48.73/7.40 tff('declare_A_update_c_update_fun$3',type,fmb_'A_update_c_update_fun$'_3:'A_update_c_update_fun$').
% 48.73/7.40 tff('declare_A_update_c_update_fun$4',type,fmb_'A_update_c_update_fun$'_4:'A_update_c_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_c_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_c_update_fun$'_1 | X = fmb_'A_update_c_update_fun$'_2 | X = fmb_'A_update_c_update_fun$'_3 | X = fmb_'A_update_c_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_c_update_fun$'_1 != fmb_'A_update_c_update_fun$'_2 & fmb_'A_update_c_update_fun$'_1 != fmb_'A_update_c_update_fun$'_3 & fmb_'A_update_c_update_fun$'_1 != fmb_'A_update_c_update_fun$'_4 & fmb_'A_update_c_update_fun$'_2 != fmb_'A_update_c_update_fun$'_3 & fmb_'A_update_c_update_fun$'_2 != fmb_'A_update_c_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_c_update_fun$'_3 != fmb_'A_update_c_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_f_prod_update$',type,'F_f_prod_update$':$tType).
% 48.73/7.40 tff('declare_F_f_prod_update$1',type,fmb_'F_f_prod_update$'_1:'F_f_prod_update$').
% 48.73/7.40 tff('declare_F_f_prod_update$2',type,fmb_'F_f_prod_update$'_2:'F_f_prod_update$').
% 48.73/7.40 tff('declare_F_f_prod_update$3',type,fmb_'F_f_prod_update$'_3:'F_f_prod_update$').
% 48.73/7.40 tff('declare_F_f_prod_update$4',type,fmb_'F_f_prod_update$'_4:'F_f_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_f_prod_update$'] : (
% 48.73/7.40 X = fmb_'F_f_prod_update$'_1 | X = fmb_'F_f_prod_update$'_2 | X = fmb_'F_f_prod_update$'_3 | X = fmb_'F_f_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_f_prod_update$'_1 != fmb_'F_f_prod_update$'_2 & fmb_'F_f_prod_update$'_1 != fmb_'F_f_prod_update$'_3 & fmb_'F_f_prod_update$'_1 != fmb_'F_f_prod_update$'_4 & fmb_'F_f_prod_update$'_2 != fmb_'F_f_prod_update$'_3 & fmb_'F_f_prod_update$'_2 != fmb_'F_f_prod_update$'_4 &
% 48.73/7.40 fmb_'F_f_prod_update$'_3 != fmb_'F_f_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_d_prod_update$',type,'E_d_prod_update$':$tType).
% 48.73/7.40 tff('declare_E_d_prod_update$1',type,fmb_'E_d_prod_update$'_1:'E_d_prod_update$').
% 48.73/7.40 tff('declare_E_d_prod_update$2',type,fmb_'E_d_prod_update$'_2:'E_d_prod_update$').
% 48.73/7.40 tff('declare_E_d_prod_update$3',type,fmb_'E_d_prod_update$'_3:'E_d_prod_update$').
% 48.73/7.40 tff('declare_E_d_prod_update$4',type,fmb_'E_d_prod_update$'_4:'E_d_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_d_prod_update$'] : (
% 48.73/7.40 X = fmb_'E_d_prod_update$'_1 | X = fmb_'E_d_prod_update$'_2 | X = fmb_'E_d_prod_update$'_3 | X = fmb_'E_d_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_d_prod_update$'_1 != fmb_'E_d_prod_update$'_2 & fmb_'E_d_prod_update$'_1 != fmb_'E_d_prod_update$'_3 & fmb_'E_d_prod_update$'_1 != fmb_'E_d_prod_update$'_4 & fmb_'E_d_prod_update$'_2 != fmb_'E_d_prod_update$'_3 & fmb_'E_d_prod_update$'_2 != fmb_'E_d_prod_update$'_4 &
% 48.73/7.40 fmb_'E_d_prod_update$'_3 != fmb_'E_d_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_C_update_a_b_c_prod_prod_update_fun$',type,'C_update_a_b_c_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_C_update_a_b_c_prod_prod_update_fun$1',type,fmb_'C_update_a_b_c_prod_prod_update_fun$'_1:'C_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_C_update_a_b_c_prod_prod_update_fun$2',type,fmb_'C_update_a_b_c_prod_prod_update_fun$'_2:'C_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_C_update_a_b_c_prod_prod_update_fun$3',type,fmb_'C_update_a_b_c_prod_prod_update_fun$'_3:'C_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_C_update_a_b_c_prod_prod_update_fun$4',type,fmb_'C_update_a_b_c_prod_prod_update_fun$'_4:'C_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'C_update_a_b_c_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'C_update_a_b_c_prod_prod_update_fun$'_1 | X = fmb_'C_update_a_b_c_prod_prod_update_fun$'_2 | X = fmb_'C_update_a_b_c_prod_prod_update_fun$'_3 | X = fmb_'C_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'C_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'C_update_a_b_c_prod_prod_update_fun$'_2 & fmb_'C_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'C_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'C_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'C_update_a_b_c_prod_prod_update_fun$'_4 & fmb_'C_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'C_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'C_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'C_update_a_b_c_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'C_update_a_b_c_prod_prod_update_fun$'_3 != fmb_'C_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_d_update_fun$',type,'E_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_update_d_update_fun$1',type,fmb_'E_update_d_update_fun$'_1:'E_update_d_update_fun$').
% 48.73/7.40 tff('declare_E_update_d_update_fun$2',type,fmb_'E_update_d_update_fun$'_2:'E_update_d_update_fun$').
% 48.73/7.40 tff('declare_E_update_d_update_fun$3',type,fmb_'E_update_d_update_fun$'_3:'E_update_d_update_fun$').
% 48.73/7.40 tff('declare_E_update_d_update_fun$4',type,fmb_'E_update_d_update_fun$'_4:'E_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_d_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_update_d_update_fun$'_1 | X = fmb_'E_update_d_update_fun$'_2 | X = fmb_'E_update_d_update_fun$'_3 | X = fmb_'E_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_update_d_update_fun$'_1 != fmb_'E_update_d_update_fun$'_2 & fmb_'E_update_d_update_fun$'_1 != fmb_'E_update_d_update_fun$'_3 & fmb_'E_update_d_update_fun$'_1 != fmb_'E_update_d_update_fun$'_4 & fmb_'E_update_d_update_fun$'_2 != fmb_'E_update_d_update_fun$'_3 & fmb_'E_update_d_update_fun$'_2 != fmb_'E_update_d_update_fun$'_4 &
% 48.73/7.40 fmb_'E_update_d_update_fun$'_3 != fmb_'E_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update$',type,'E_f_g_prod_prod_update$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update$1',type,'id_update$':'E_f_g_prod_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update$'] : (
% 48.73/7.40 X = 'id_update$'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_update_d_d_prod_update_fun$',type,'D_update_d_d_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_D_update_d_d_prod_update_fun$1',type,'uxi$':'D_update_d_d_prod_update_fun$').
% 48.73/7.40 tff('declare_D_update_d_d_prod_update_fun$2',type,fmb_'D_update_d_d_prod_update_fun$'_2:'D_update_d_d_prod_update_fun$').
% 48.73/7.40 tff('declare_D_update_d_d_prod_update_fun$3',type,fmb_'D_update_d_d_prod_update_fun$'_3:'D_update_d_d_prod_update_fun$').
% 48.73/7.40 tff('declare_D_update_d_d_prod_update_fun$4',type,fmb_'D_update_d_d_prod_update_fun$'_4:'D_update_d_d_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_update_d_d_prod_update_fun$'] : (
% 48.73/7.40 X = 'uxi$' | X = fmb_'D_update_d_d_prod_update_fun$'_2 | X = fmb_'D_update_d_d_prod_update_fun$'_3 | X = fmb_'D_update_d_d_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uxi$' != fmb_'D_update_d_d_prod_update_fun$'_2 & 'uxi$' != fmb_'D_update_d_d_prod_update_fun$'_3 & 'uxi$' != fmb_'D_update_d_d_prod_update_fun$'_4 & fmb_'D_update_d_d_prod_update_fun$'_2 != fmb_'D_update_d_d_prod_update_fun$'_3 & fmb_'D_update_d_d_prod_update_fun$'_2 != fmb_'D_update_d_d_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'D_update_d_d_prod_update_fun$'_3 != fmb_'D_update_d_d_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_Bool_e_f_g_prod_prod_update_set_fun$',type,'Bool_e_f_g_prod_prod_update_set_fun$':$tType).
% 48.73/7.40 tff('declare_Bool_e_f_g_prod_prod_update_set_fun$1',type,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1:'Bool_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_Bool_e_f_g_prod_prod_update_set_fun$2',type,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2:'Bool_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_Bool_e_f_g_prod_prod_update_set_fun$3',type,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3:'Bool_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff('declare_Bool_e_f_g_prod_prod_update_set_fun$4',type,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4:'Bool_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'Bool_e_f_g_prod_prod_update_set_fun$'] : (
% 48.73/7.40 X = fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1 | X = fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2 | X = fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3 | X = fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1 != fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2 & fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1 != fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3 & fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1 != fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4 & fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2 != fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3 & fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2 != fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4 &
% 48.73/7.40 fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3 != fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_e_f_g_prod_prod_update_fun$',type,'A_update_e_f_g_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_e_f_g_prod_prod_update_fun$1',type,fmb_'A_update_e_f_g_prod_prod_update_fun$'_1:'A_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_f_g_prod_prod_update_fun$2',type,fmb_'A_update_e_f_g_prod_prod_update_fun$'_2:'A_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_f_g_prod_prod_update_fun$3',type,fmb_'A_update_e_f_g_prod_prod_update_fun$'_3:'A_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_f_g_prod_prod_update_fun$4',type,fmb_'A_update_e_f_g_prod_prod_update_fun$'_4:'A_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_e_f_g_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_e_f_g_prod_prod_update_fun$'_1 | X = fmb_'A_update_e_f_g_prod_prod_update_fun$'_2 | X = fmb_'A_update_e_f_g_prod_prod_update_fun$'_3 | X = fmb_'A_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'A_update_e_f_g_prod_prod_update_fun$'_2 & fmb_'A_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'A_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'A_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'A_update_e_f_g_prod_prod_update_fun$'_4 & fmb_'A_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'A_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'A_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'A_update_e_f_g_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_e_f_g_prod_prod_update_fun$'_3 != fmb_'A_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_update_c_update_fun$',type,'E_update_c_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_update_c_update_fun$1',type,fmb_'E_update_c_update_fun$'_1:'E_update_c_update_fun$').
% 48.73/7.40 tff('declare_E_update_c_update_fun$2',type,fmb_'E_update_c_update_fun$'_2:'E_update_c_update_fun$').
% 48.73/7.40 tff('declare_E_update_c_update_fun$3',type,fmb_'E_update_c_update_fun$'_3:'E_update_c_update_fun$').
% 48.73/7.40 tff('declare_E_update_c_update_fun$4',type,fmb_'E_update_c_update_fun$'_4:'E_update_c_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_update_c_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_update_c_update_fun$'_1 | X = fmb_'E_update_c_update_fun$'_2 | X = fmb_'E_update_c_update_fun$'_3 | X = fmb_'E_update_c_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_update_c_update_fun$'_1 != fmb_'E_update_c_update_fun$'_2 & fmb_'E_update_c_update_fun$'_1 != fmb_'E_update_c_update_fun$'_3 & fmb_'E_update_c_update_fun$'_1 != fmb_'E_update_c_update_fun$'_4 & fmb_'E_update_c_update_fun$'_2 != fmb_'E_update_c_update_fun$'_3 & fmb_'E_update_c_update_fun$'_2 != fmb_'E_update_c_update_fun$'_4 &
% 48.73/7.40 fmb_'E_update_c_update_fun$'_3 != fmb_'E_update_c_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_update_fun$',type,'B_c_prod_update_e_f_g_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_update_fun$1',type,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1:'B_c_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_update_fun$2',type,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2:'B_c_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_update_fun$3',type,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3:'B_c_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_e_f_g_prod_prod_update_fun$4',type,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4:'B_c_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_update_e_f_g_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1 | X = fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2 | X = fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3 | X = fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2 & fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1 != fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4 & fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3 & fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2 != fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3 != fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_d_prod_update_bool_fun$',type,'D_d_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_D_d_prod_update_bool_fun$1',type,'uuc$':'D_d_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_D_d_prod_update_bool_fun$2',type,fmb_'D_d_prod_update_bool_fun$'_2:'D_d_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_D_d_prod_update_bool_fun$3',type,fmb_'D_d_prod_update_bool_fun$'_3:'D_d_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_D_d_prod_update_bool_fun$4',type,fmb_'D_d_prod_update_bool_fun$'_4:'D_d_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_d_prod_update_bool_fun$'] : (
% 48.73/7.40 X = 'uuc$' | X = fmb_'D_d_prod_update_bool_fun$'_2 | X = fmb_'D_d_prod_update_bool_fun$'_3 | X = fmb_'D_d_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uuc$' != fmb_'D_d_prod_update_bool_fun$'_2 & 'uuc$' != fmb_'D_d_prod_update_bool_fun$'_3 & 'uuc$' != fmb_'D_d_prod_update_bool_fun$'_4 & fmb_'D_d_prod_update_bool_fun$'_2 != fmb_'D_d_prod_update_bool_fun$'_3 & fmb_'D_d_prod_update_bool_fun$'_2 != fmb_'D_d_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'D_d_prod_update_bool_fun$'_3 != fmb_'D_d_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_g_prod_update$',type,'F_g_prod_update$':$tType).
% 48.73/7.40 tff('declare_F_g_prod_update$1',type,'id_update$c':'F_g_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_g_prod_update$'] : (
% 48.73/7.40 X = 'id_update$c'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update$',type,'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update$1',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update$2',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update$3',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update$4',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'] : (
% 48.73/7.40 X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$',type,'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$1',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$2',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$3',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$4',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 & fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 & fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_update_bool_fun$',type,'B_c_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_update_bool_fun$1',type,'uug$':'B_c_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_bool_fun$2',type,'top$j':'B_c_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_bool_fun$3',type,'uvs$':'B_c_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_B_c_prod_update_bool_fun$4',type,fmb_'B_c_prod_update_bool_fun$'_4:'B_c_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_update_bool_fun$'] : (
% 48.73/7.40 X = 'uug$' | X = 'top$j' | X = 'uvs$' | X = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uug$' != 'top$j' & 'uug$' != 'uvs$' & 'uug$' != fmb_'B_c_prod_update_bool_fun$'_4 & 'top$j' != 'uvs$' & 'top$j' != fmb_'B_c_prod_update_bool_fun$'_4 &
% 48.73/7.40 'uvs$' != fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_update_set$',type,'F_update_set$':$tType).
% 48.73/7.40 tff('declare_F_update_set$1',type,'top$':'F_update_set$').
% 48.73/7.40 tff('declare_F_update_set$2',type,fmb_'F_update_set$'_2:'F_update_set$').
% 48.73/7.40 tff('declare_F_update_set$3',type,fmb_'F_update_set$'_3:'F_update_set$').
% 48.73/7.40 tff('declare_F_update_set$4',type,fmb_'F_update_set$'_4:'F_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_update_set$'] : (
% 48.73/7.40 X = 'top$' | X = fmb_'F_update_set$'_2 | X = fmb_'F_update_set$'_3 | X = fmb_'F_update_set$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'top$' != fmb_'F_update_set$'_2 & 'top$' != fmb_'F_update_set$'_3 & 'top$' != fmb_'F_update_set$'_4 & fmb_'F_update_set$'_2 != fmb_'F_update_set$'_3 & fmb_'F_update_set$'_2 != fmb_'F_update_set$'_4 &
% 48.73/7.40 fmb_'F_update_set$'_3 != fmb_'F_update_set$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_d_a_prod_update_fun$',type,'A_update_d_a_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_d_a_prod_update_fun$1',type,fmb_'A_update_d_a_prod_update_fun$'_1:'A_update_d_a_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_a_prod_update_fun$2',type,fmb_'A_update_d_a_prod_update_fun$'_2:'A_update_d_a_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_a_prod_update_fun$3',type,fmb_'A_update_d_a_prod_update_fun$'_3:'A_update_d_a_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_a_prod_update_fun$4',type,fmb_'A_update_d_a_prod_update_fun$'_4:'A_update_d_a_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_d_a_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_d_a_prod_update_fun$'_1 | X = fmb_'A_update_d_a_prod_update_fun$'_2 | X = fmb_'A_update_d_a_prod_update_fun$'_3 | X = fmb_'A_update_d_a_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_d_a_prod_update_fun$'_1 != fmb_'A_update_d_a_prod_update_fun$'_2 & fmb_'A_update_d_a_prod_update_fun$'_1 != fmb_'A_update_d_a_prod_update_fun$'_3 & fmb_'A_update_d_a_prod_update_fun$'_1 != fmb_'A_update_d_a_prod_update_fun$'_4 & fmb_'A_update_d_a_prod_update_fun$'_2 != fmb_'A_update_d_a_prod_update_fun$'_3 & fmb_'A_update_d_a_prod_update_fun$'_2 != fmb_'A_update_d_a_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_d_a_prod_update_fun$'_3 != fmb_'A_update_d_a_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_update$',type,'D_update$':$tType).
% 48.73/7.40 tff('declare_D_update$1',type,'id_update$d':'D_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_update$'] : (
% 48.73/7.40 X = 'id_update$d'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_b_update_fun$',type,'B_update_b_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_update_b_update_fun$1',type,fmb_'B_update_b_update_fun$'_1:'B_update_b_update_fun$').
% 48.73/7.40 tff('declare_B_update_b_update_fun$2',type,fmb_'B_update_b_update_fun$'_2:'B_update_b_update_fun$').
% 48.73/7.40 tff('declare_B_update_b_update_fun$3',type,fmb_'B_update_b_update_fun$'_3:'B_update_b_update_fun$').
% 48.73/7.40 tff('declare_B_update_b_update_fun$4',type,fmb_'B_update_b_update_fun$'_4:'B_update_b_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_b_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_update_b_update_fun$'_1 | X = fmb_'B_update_b_update_fun$'_2 | X = fmb_'B_update_b_update_fun$'_3 | X = fmb_'B_update_b_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_update_b_update_fun$'_1 != fmb_'B_update_b_update_fun$'_2 & fmb_'B_update_b_update_fun$'_1 != fmb_'B_update_b_update_fun$'_3 & fmb_'B_update_b_update_fun$'_1 != fmb_'B_update_b_update_fun$'_4 & fmb_'B_update_b_update_fun$'_2 != fmb_'B_update_b_update_fun$'_3 & fmb_'B_update_b_update_fun$'_2 != fmb_'B_update_b_update_fun$'_4 &
% 48.73/7.40 fmb_'B_update_b_update_fun$'_3 != fmb_'B_update_b_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_a_update_fun$',type,'A_a_prod_update_a_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_a_update_fun$1',type,fmb_'A_a_prod_update_a_update_fun$'_1:'A_a_prod_update_a_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_a_update_fun$2',type,fmb_'A_a_prod_update_a_update_fun$'_2:'A_a_prod_update_a_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_a_update_fun$3',type,fmb_'A_a_prod_update_a_update_fun$'_3:'A_a_prod_update_a_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_a_update_fun$4',type,fmb_'A_a_prod_update_a_update_fun$'_4:'A_a_prod_update_a_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_a_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_a_update_fun$'_1 | X = fmb_'A_a_prod_update_a_update_fun$'_2 | X = fmb_'A_a_prod_update_a_update_fun$'_3 | X = fmb_'A_a_prod_update_a_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_a_update_fun$'_1 != fmb_'A_a_prod_update_a_update_fun$'_2 & fmb_'A_a_prod_update_a_update_fun$'_1 != fmb_'A_a_prod_update_a_update_fun$'_3 & fmb_'A_a_prod_update_a_update_fun$'_1 != fmb_'A_a_prod_update_a_update_fun$'_4 & fmb_'A_a_prod_update_a_update_fun$'_2 != fmb_'A_a_prod_update_a_update_fun$'_3 & fmb_'A_a_prod_update_a_update_fun$'_2 != fmb_'A_a_prod_update_a_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_a_update_fun$'_3 != fmb_'A_a_prod_update_a_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_d_b_prod_update_fun$',type,'A_update_d_b_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_d_b_prod_update_fun$1',type,fmb_'A_update_d_b_prod_update_fun$'_1:'A_update_d_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_b_prod_update_fun$2',type,fmb_'A_update_d_b_prod_update_fun$'_2:'A_update_d_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_b_prod_update_fun$3',type,fmb_'A_update_d_b_prod_update_fun$'_3:'A_update_d_b_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_d_b_prod_update_fun$4',type,fmb_'A_update_d_b_prod_update_fun$'_4:'A_update_d_b_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_d_b_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_d_b_prod_update_fun$'_1 | X = fmb_'A_update_d_b_prod_update_fun$'_2 | X = fmb_'A_update_d_b_prod_update_fun$'_3 | X = fmb_'A_update_d_b_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_d_b_prod_update_fun$'_1 != fmb_'A_update_d_b_prod_update_fun$'_2 & fmb_'A_update_d_b_prod_update_fun$'_1 != fmb_'A_update_d_b_prod_update_fun$'_3 & fmb_'A_update_d_b_prod_update_fun$'_1 != fmb_'A_update_d_b_prod_update_fun$'_4 & fmb_'A_update_d_b_prod_update_fun$'_2 != fmb_'A_update_d_b_prod_update_fun$'_3 & fmb_'A_update_d_b_prod_update_fun$'_2 != fmb_'A_update_d_b_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_d_b_prod_update_fun$'_3 != fmb_'A_update_d_b_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_f_g_prod_update_fun$',type,'B_update_f_g_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_update_f_g_prod_update_fun$1',type,fmb_'B_update_f_g_prod_update_fun$'_1:'B_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_f_g_prod_update_fun$2',type,fmb_'B_update_f_g_prod_update_fun$'_2:'B_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_f_g_prod_update_fun$3',type,fmb_'B_update_f_g_prod_update_fun$'_3:'B_update_f_g_prod_update_fun$').
% 48.73/7.40 tff('declare_B_update_f_g_prod_update_fun$4',type,fmb_'B_update_f_g_prod_update_fun$'_4:'B_update_f_g_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_f_g_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_update_f_g_prod_update_fun$'_1 | X = fmb_'B_update_f_g_prod_update_fun$'_2 | X = fmb_'B_update_f_g_prod_update_fun$'_3 | X = fmb_'B_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_update_f_g_prod_update_fun$'_1 != fmb_'B_update_f_g_prod_update_fun$'_2 & fmb_'B_update_f_g_prod_update_fun$'_1 != fmb_'B_update_f_g_prod_update_fun$'_3 & fmb_'B_update_f_g_prod_update_fun$'_1 != fmb_'B_update_f_g_prod_update_fun$'_4 & fmb_'B_update_f_g_prod_update_fun$'_2 != fmb_'B_update_f_g_prod_update_fun$'_3 & fmb_'B_update_f_g_prod_update_fun$'_2 != fmb_'B_update_f_g_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'B_update_f_g_prod_update_fun$'_3 != fmb_'B_update_f_g_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_e_f_prod_update_fun$',type,'A_update_e_f_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_e_f_prod_update_fun$1',type,fmb_'A_update_e_f_prod_update_fun$'_1:'A_update_e_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_f_prod_update_fun$2',type,fmb_'A_update_e_f_prod_update_fun$'_2:'A_update_e_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_f_prod_update_fun$3',type,fmb_'A_update_e_f_prod_update_fun$'_3:'A_update_e_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_f_prod_update_fun$4',type,fmb_'A_update_e_f_prod_update_fun$'_4:'A_update_e_f_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_e_f_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_e_f_prod_update_fun$'_1 | X = fmb_'A_update_e_f_prod_update_fun$'_2 | X = fmb_'A_update_e_f_prod_update_fun$'_3 | X = fmb_'A_update_e_f_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_e_f_prod_update_fun$'_1 != fmb_'A_update_e_f_prod_update_fun$'_2 & fmb_'A_update_e_f_prod_update_fun$'_1 != fmb_'A_update_e_f_prod_update_fun$'_3 & fmb_'A_update_e_f_prod_update_fun$'_1 != fmb_'A_update_e_f_prod_update_fun$'_4 & fmb_'A_update_e_f_prod_update_fun$'_2 != fmb_'A_update_e_f_prod_update_fun$'_3 & fmb_'A_update_e_f_prod_update_fun$'_2 != fmb_'A_update_e_f_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_e_f_prod_update_fun$'_3 != fmb_'A_update_e_f_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_F_a_prod_update_set$',type,'F_a_prod_update_set$':$tType).
% 48.73/7.40 tff('declare_F_a_prod_update_set$1',type,fmb_'F_a_prod_update_set$'_1:'F_a_prod_update_set$').
% 48.73/7.40 tff('declare_F_a_prod_update_set$2',type,fmb_'F_a_prod_update_set$'_2:'F_a_prod_update_set$').
% 48.73/7.40 tff('declare_F_a_prod_update_set$3',type,fmb_'F_a_prod_update_set$'_3:'F_a_prod_update_set$').
% 48.73/7.40 tff('declare_F_a_prod_update_set$4',type,fmb_'F_a_prod_update_set$'_4:'F_a_prod_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'F_a_prod_update_set$'] : (
% 48.73/7.40 X = fmb_'F_a_prod_update_set$'_1 | X = fmb_'F_a_prod_update_set$'_2 | X = fmb_'F_a_prod_update_set$'_3 | X = fmb_'F_a_prod_update_set$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'F_a_prod_update_set$'_1 != fmb_'F_a_prod_update_set$'_2 & fmb_'F_a_prod_update_set$'_1 != fmb_'F_a_prod_update_set$'_3 & fmb_'F_a_prod_update_set$'_1 != fmb_'F_a_prod_update_set$'_4 & fmb_'F_a_prod_update_set$'_2 != fmb_'F_a_prod_update_set$'_3 & fmb_'F_a_prod_update_set$'_2 != fmb_'F_a_prod_update_set$'_4 &
% 48.73/7.40 fmb_'F_a_prod_update_set$'_3 != fmb_'F_a_prod_update_set$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$',type,'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$1',type,'uxg$':'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$2',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2:'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$3',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3:'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$4',type,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4:'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'] : (
% 48.73/7.40 X = 'uxg$' | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uxg$' != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 & 'uxg$' != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & 'uxg$' != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_e_e_prod_update_fun$',type,'A_update_e_e_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_e_e_prod_update_fun$1',type,fmb_'A_update_e_e_prod_update_fun$'_1:'A_update_e_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_e_prod_update_fun$2',type,fmb_'A_update_e_e_prod_update_fun$'_2:'A_update_e_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_e_prod_update_fun$3',type,fmb_'A_update_e_e_prod_update_fun$'_3:'A_update_e_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_e_e_prod_update_fun$4',type,fmb_'A_update_e_e_prod_update_fun$'_4:'A_update_e_e_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_e_e_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_e_e_prod_update_fun$'_1 | X = fmb_'A_update_e_e_prod_update_fun$'_2 | X = fmb_'A_update_e_e_prod_update_fun$'_3 | X = fmb_'A_update_e_e_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_e_e_prod_update_fun$'_1 != fmb_'A_update_e_e_prod_update_fun$'_2 & fmb_'A_update_e_e_prod_update_fun$'_1 != fmb_'A_update_e_e_prod_update_fun$'_3 & fmb_'A_update_e_e_prod_update_fun$'_1 != fmb_'A_update_e_e_prod_update_fun$'_4 & fmb_'A_update_e_e_prod_update_fun$'_2 != fmb_'A_update_e_e_prod_update_fun$'_3 & fmb_'A_update_e_e_prod_update_fun$'_2 != fmb_'A_update_e_e_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_e_e_prod_update_fun$'_3 != fmb_'A_update_e_e_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_C_f_prod_update$',type,'C_f_prod_update$':$tType).
% 48.73/7.40 tff('declare_C_f_prod_update$1',type,fmb_'C_f_prod_update$'_1:'C_f_prod_update$').
% 48.73/7.40 tff('declare_C_f_prod_update$2',type,fmb_'C_f_prod_update$'_2:'C_f_prod_update$').
% 48.73/7.40 tff('declare_C_f_prod_update$3',type,fmb_'C_f_prod_update$'_3:'C_f_prod_update$').
% 48.73/7.40 tff('declare_C_f_prod_update$4',type,fmb_'C_f_prod_update$'_4:'C_f_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'C_f_prod_update$'] : (
% 48.73/7.40 X = fmb_'C_f_prod_update$'_1 | X = fmb_'C_f_prod_update$'_2 | X = fmb_'C_f_prod_update$'_3 | X = fmb_'C_f_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'C_f_prod_update$'_1 != fmb_'C_f_prod_update$'_2 & fmb_'C_f_prod_update$'_1 != fmb_'C_f_prod_update$'_3 & fmb_'C_f_prod_update$'_1 != fmb_'C_f_prod_update$'_4 & fmb_'C_f_prod_update$'_2 != fmb_'C_f_prod_update$'_3 & fmb_'C_f_prod_update$'_2 != fmb_'C_f_prod_update$'_4 &
% 48.73/7.40 fmb_'C_f_prod_update$'_3 != fmb_'C_f_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun$',type,'E_f_g_prod_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun$1',type,'uud$':'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun$2',type,fmb_'E_f_g_prod_prod_update_bool_fun$'_2:'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_bool_fun$3',type,'uzx$':'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_bool_fun$'] : (
% 48.73/7.40 X = 'uud$' | X = fmb_'E_f_g_prod_prod_update_bool_fun$'_2 | X = 'uzx$'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uud$' != fmb_'E_f_g_prod_prod_update_bool_fun$'_2 & 'uud$' != 'uzx$' & fmb_'E_f_g_prod_prod_update_bool_fun$'_2 != 'uzx$'
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$',type,'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$1',type,'uub$':'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$2',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$3',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$4',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'] : (
% 48.73/7.40 X = 'uub$' | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uub$' != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2 & 'uub$' != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3 & 'uub$' != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_set$',type,'B_update_set$':$tType).
% 48.73/7.40 tff('declare_B_update_set$1',type,'top$c':'B_update_set$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_set$'] : (
% 48.73/7.40 X = 'top$c'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_c_prod_itself$',type,'B_c_prod_itself$':$tType).
% 48.73/7.40 tff('declare_B_c_prod_itself$1',type,'type$b':'B_c_prod_itself$').
% 48.73/7.40 tff('declare_B_c_prod_itself$2',type,fmb_'B_c_prod_itself$'_2:'B_c_prod_itself$').
% 48.73/7.40 tff('declare_B_c_prod_itself$3',type,fmb_'B_c_prod_itself$'_3:'B_c_prod_itself$').
% 48.73/7.40 tff('declare_B_c_prod_itself$4',type,fmb_'B_c_prod_itself$'_4:'B_c_prod_itself$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_c_prod_itself$'] : (
% 48.73/7.40 X = 'type$b' | X = fmb_'B_c_prod_itself$'_2 | X = fmb_'B_c_prod_itself$'_3 | X = fmb_'B_c_prod_itself$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'type$b' != fmb_'B_c_prod_itself$'_2 & 'type$b' != fmb_'B_c_prod_itself$'_3 & 'type$b' != fmb_'B_c_prod_itself$'_4 & fmb_'B_c_prod_itself$'_2 != fmb_'B_c_prod_itself$'_3 & fmb_'B_c_prod_itself$'_2 != fmb_'B_c_prod_itself$'_4 &
% 48.73/7.40 fmb_'B_c_prod_itself$'_3 != fmb_'B_c_prod_itself$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_d_update_fun$',type,'A_b_c_prod_prod_update_d_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_d_update_fun$1',type,'g$':'A_b_c_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_d_update_fun$2',type,'f$':'A_b_c_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_d_update_fun$3',type,'g$':'A_b_c_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_d_update_fun$4',type,fmb_'A_b_c_prod_prod_update_d_update_fun$'_4:'A_b_c_prod_prod_update_d_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_b_c_prod_prod_update_d_update_fun$'] : (
% 48.73/7.40 X = 'g$' | X = 'f$' | X = 'g$' | X = fmb_'A_b_c_prod_prod_update_d_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'g$' != 'f$' & 'g$' != 'g$' & 'g$' != fmb_'A_b_c_prod_prod_update_d_update_fun$'_4 & 'f$' != 'g$' & 'f$' != fmb_'A_b_c_prod_prod_update_d_update_fun$'_4 &
% 48.73/7.40 'g$' != fmb_'A_b_c_prod_prod_update_d_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_f_e_prod_update_fun$',type,'A_update_f_e_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_f_e_prod_update_fun$1',type,fmb_'A_update_f_e_prod_update_fun$'_1:'A_update_f_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_f_e_prod_update_fun$2',type,fmb_'A_update_f_e_prod_update_fun$'_2:'A_update_f_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_f_e_prod_update_fun$3',type,fmb_'A_update_f_e_prod_update_fun$'_3:'A_update_f_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_f_e_prod_update_fun$4',type,fmb_'A_update_f_e_prod_update_fun$'_4:'A_update_f_e_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_f_e_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_f_e_prod_update_fun$'_1 | X = fmb_'A_update_f_e_prod_update_fun$'_2 | X = fmb_'A_update_f_e_prod_update_fun$'_3 | X = fmb_'A_update_f_e_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_f_e_prod_update_fun$'_1 != fmb_'A_update_f_e_prod_update_fun$'_2 & fmb_'A_update_f_e_prod_update_fun$'_1 != fmb_'A_update_f_e_prod_update_fun$'_3 & fmb_'A_update_f_e_prod_update_fun$'_1 != fmb_'A_update_f_e_prod_update_fun$'_4 & fmb_'A_update_f_e_prod_update_fun$'_2 != fmb_'A_update_f_e_prod_update_fun$'_3 & fmb_'A_update_f_e_prod_update_fun$'_2 != fmb_'A_update_f_e_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_f_e_prod_update_fun$'_3 != fmb_'A_update_f_e_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_D_a_prod_update$',type,'D_a_prod_update$':$tType).
% 48.73/7.40 tff('declare_D_a_prod_update$1',type,fmb_'D_a_prod_update$'_1:'D_a_prod_update$').
% 48.73/7.40 tff('declare_D_a_prod_update$2',type,fmb_'D_a_prod_update$'_2:'D_a_prod_update$').
% 48.73/7.40 tff('declare_D_a_prod_update$3',type,fmb_'D_a_prod_update$'_3:'D_a_prod_update$').
% 48.73/7.40 tff('declare_D_a_prod_update$4',type,fmb_'D_a_prod_update$'_4:'D_a_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'D_a_prod_update$'] : (
% 48.73/7.40 X = fmb_'D_a_prod_update$'_1 | X = fmb_'D_a_prod_update$'_2 | X = fmb_'D_a_prod_update$'_3 | X = fmb_'D_a_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'D_a_prod_update$'_1 != fmb_'D_a_prod_update$'_2 & fmb_'D_a_prod_update$'_1 != fmb_'D_a_prod_update$'_3 & fmb_'D_a_prod_update$'_1 != fmb_'D_a_prod_update$'_4 & fmb_'D_a_prod_update$'_2 != fmb_'D_a_prod_update$'_3 & fmb_'D_a_prod_update$'_2 != fmb_'D_a_prod_update$'_4 &
% 48.73/7.40 fmb_'D_a_prod_update$'_3 != fmb_'D_a_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update_e_update_fun$',type,'B_update_e_update_fun$':$tType).
% 48.73/7.40 tff('declare_B_update_e_update_fun$1',type,fmb_'B_update_e_update_fun$'_1:'B_update_e_update_fun$').
% 48.73/7.40 tff('declare_B_update_e_update_fun$2',type,fmb_'B_update_e_update_fun$'_2:'B_update_e_update_fun$').
% 48.73/7.40 tff('declare_B_update_e_update_fun$3',type,fmb_'B_update_e_update_fun$'_3:'B_update_e_update_fun$').
% 48.73/7.40 tff('declare_B_update_e_update_fun$4',type,fmb_'B_update_e_update_fun$'_4:'B_update_e_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update_e_update_fun$'] : (
% 48.73/7.40 X = fmb_'B_update_e_update_fun$'_1 | X = fmb_'B_update_e_update_fun$'_2 | X = fmb_'B_update_e_update_fun$'_3 | X = fmb_'B_update_e_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'B_update_e_update_fun$'_1 != fmb_'B_update_e_update_fun$'_2 & fmb_'B_update_e_update_fun$'_1 != fmb_'B_update_e_update_fun$'_3 & fmb_'B_update_e_update_fun$'_1 != fmb_'B_update_e_update_fun$'_4 & fmb_'B_update_e_update_fun$'_2 != fmb_'B_update_e_update_fun$'_3 & fmb_'B_update_e_update_fun$'_2 != fmb_'B_update_e_update_fun$'_4 &
% 48.73/7.40 fmb_'B_update_e_update_fun$'_3 != fmb_'B_update_e_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_bool_fun$',type,'E_f_g_prod_prod_update_set_bool_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_bool_fun$1',type,'top$u':'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_bool_fun$2',type,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2:'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_bool_fun$3',type,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3:'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_update_set_bool_fun$4',type,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4:'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_update_set_bool_fun$'] : (
% 48.73/7.40 X = 'top$u' | X = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'top$u' != fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2 & 'top$u' != fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3 & 'top$u' != fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4 & fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2 != fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3 & fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2 != fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3 != fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_update_b_e_prod_update_fun$',type,'A_update_b_e_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_update_b_e_prod_update_fun$1',type,fmb_'A_update_b_e_prod_update_fun$'_1:'A_update_b_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_e_prod_update_fun$2',type,fmb_'A_update_b_e_prod_update_fun$'_2:'A_update_b_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_e_prod_update_fun$3',type,fmb_'A_update_b_e_prod_update_fun$'_3:'A_update_b_e_prod_update_fun$').
% 48.73/7.40 tff('declare_A_update_b_e_prod_update_fun$4',type,fmb_'A_update_b_e_prod_update_fun$'_4:'A_update_b_e_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_update_b_e_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_update_b_e_prod_update_fun$'_1 | X = fmb_'A_update_b_e_prod_update_fun$'_2 | X = fmb_'A_update_b_e_prod_update_fun$'_3 | X = fmb_'A_update_b_e_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_update_b_e_prod_update_fun$'_1 != fmb_'A_update_b_e_prod_update_fun$'_2 & fmb_'A_update_b_e_prod_update_fun$'_1 != fmb_'A_update_b_e_prod_update_fun$'_3 & fmb_'A_update_b_e_prod_update_fun$'_1 != fmb_'A_update_b_e_prod_update_fun$'_4 & fmb_'A_update_b_e_prod_update_fun$'_2 != fmb_'A_update_b_e_prod_update_fun$'_3 & fmb_'A_update_b_e_prod_update_fun$'_2 != fmb_'A_update_b_e_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_update_b_e_prod_update_fun$'_3 != fmb_'A_update_b_e_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_e_f_prod_update_fun$',type,'A_a_prod_update_e_f_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_e_f_prod_update_fun$1',type,fmb_'A_a_prod_update_e_f_prod_update_fun$'_1:'A_a_prod_update_e_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_f_prod_update_fun$2',type,fmb_'A_a_prod_update_e_f_prod_update_fun$'_2:'A_a_prod_update_e_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_f_prod_update_fun$3',type,fmb_'A_a_prod_update_e_f_prod_update_fun$'_3:'A_a_prod_update_e_f_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_e_f_prod_update_fun$4',type,fmb_'A_a_prod_update_e_f_prod_update_fun$'_4:'A_a_prod_update_e_f_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_e_f_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_e_f_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_e_f_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_e_f_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_e_f_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_e_f_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_f_prod_update_fun$'_2 & fmb_'A_a_prod_update_e_f_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_f_prod_update_fun$'_3 & fmb_'A_a_prod_update_e_f_prod_update_fun$'_1 != fmb_'A_a_prod_update_e_f_prod_update_fun$'_4 & fmb_'A_a_prod_update_e_f_prod_update_fun$'_2 != fmb_'A_a_prod_update_e_f_prod_update_fun$'_3 & fmb_'A_a_prod_update_e_f_prod_update_fun$'_2 != fmb_'A_a_prod_update_e_f_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_e_f_prod_update_fun$'_3 != fmb_'A_a_prod_update_e_f_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_e_prod_update$',type,'A_e_prod_update$':$tType).
% 48.73/7.40 tff('declare_A_e_prod_update$1',type,fmb_'A_e_prod_update$'_1:'A_e_prod_update$').
% 48.73/7.40 tff('declare_A_e_prod_update$2',type,fmb_'A_e_prod_update$'_2:'A_e_prod_update$').
% 48.73/7.40 tff('declare_A_e_prod_update$3',type,fmb_'A_e_prod_update$'_3:'A_e_prod_update$').
% 48.73/7.40 tff('declare_A_e_prod_update$4',type,fmb_'A_e_prod_update$'_4:'A_e_prod_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_e_prod_update$'] : (
% 48.73/7.40 X = fmb_'A_e_prod_update$'_1 | X = fmb_'A_e_prod_update$'_2 | X = fmb_'A_e_prod_update$'_3 | X = fmb_'A_e_prod_update$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_e_prod_update$'_1 != fmb_'A_e_prod_update$'_2 & fmb_'A_e_prod_update$'_1 != fmb_'A_e_prod_update$'_3 & fmb_'A_e_prod_update$'_1 != fmb_'A_e_prod_update$'_4 & fmb_'A_e_prod_update$'_2 != fmb_'A_e_prod_update$'_3 & fmb_'A_e_prod_update$'_2 != fmb_'A_e_prod_update$'_4 &
% 48.73/7.40 fmb_'A_e_prod_update$'_3 != fmb_'A_e_prod_update$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_Bool_bool_fun$',type,'Bool_bool_fun$':$tType).
% 48.73/7.40 tff('declare_Bool_bool_fun$1',type,fmb_'Bool_bool_fun$'_1:'Bool_bool_fun$').
% 48.73/7.40 tff('declare_Bool_bool_fun$2',type,fmb_'Bool_bool_fun$'_2:'Bool_bool_fun$').
% 48.73/7.40 tff('declare_Bool_bool_fun$3',type,fmb_'Bool_bool_fun$'_3:'Bool_bool_fun$').
% 48.73/7.40 tff('declare_Bool_bool_fun$4',type,fmb_'Bool_bool_fun$'_4:'Bool_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'Bool_bool_fun$'] : (
% 48.73/7.40 X = fmb_'Bool_bool_fun$'_1 | X = fmb_'Bool_bool_fun$'_2 | X = fmb_'Bool_bool_fun$'_3 | X = fmb_'Bool_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'Bool_bool_fun$'_1 != fmb_'Bool_bool_fun$'_2 & fmb_'Bool_bool_fun$'_1 != fmb_'Bool_bool_fun$'_3 & fmb_'Bool_bool_fun$'_1 != fmb_'Bool_bool_fun$'_4 & fmb_'Bool_bool_fun$'_2 != fmb_'Bool_bool_fun$'_3 & fmb_'Bool_bool_fun$'_2 != fmb_'Bool_bool_fun$'_4 &
% 48.73/7.40 fmb_'Bool_bool_fun$'_3 != fmb_'Bool_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_a_prod_update_f_a_prod_update_fun$',type,'A_a_prod_update_f_a_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_a_prod_update_f_a_prod_update_fun$1',type,fmb_'A_a_prod_update_f_a_prod_update_fun$'_1:'A_a_prod_update_f_a_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_a_prod_update_fun$2',type,fmb_'A_a_prod_update_f_a_prod_update_fun$'_2:'A_a_prod_update_f_a_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_a_prod_update_fun$3',type,fmb_'A_a_prod_update_f_a_prod_update_fun$'_3:'A_a_prod_update_f_a_prod_update_fun$').
% 48.73/7.40 tff('declare_A_a_prod_update_f_a_prod_update_fun$4',type,fmb_'A_a_prod_update_f_a_prod_update_fun$'_4:'A_a_prod_update_f_a_prod_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'A_a_prod_update_f_a_prod_update_fun$'] : (
% 48.73/7.40 X = fmb_'A_a_prod_update_f_a_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_f_a_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_f_a_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_f_a_prod_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'A_a_prod_update_f_a_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_a_prod_update_fun$'_2 & fmb_'A_a_prod_update_f_a_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_a_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_a_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_a_prod_update_fun$'_4 & fmb_'A_a_prod_update_f_a_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_a_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_a_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_a_prod_update_fun$'_4 &
% 48.73/7.40 fmb_'A_a_prod_update_f_a_prod_update_fun$'_3 != fmb_'A_a_prod_update_f_a_prod_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_C_update_a_update_fun$',type,'C_update_a_update_fun$':$tType).
% 48.73/7.40 tff('declare_C_update_a_update_fun$1',type,fmb_'C_update_a_update_fun$'_1:'C_update_a_update_fun$').
% 48.73/7.40 tff('declare_C_update_a_update_fun$2',type,fmb_'C_update_a_update_fun$'_2:'C_update_a_update_fun$').
% 48.73/7.40 tff('declare_C_update_a_update_fun$3',type,fmb_'C_update_a_update_fun$'_3:'C_update_a_update_fun$').
% 48.73/7.40 tff('declare_C_update_a_update_fun$4',type,fmb_'C_update_a_update_fun$'_4:'C_update_a_update_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'C_update_a_update_fun$'] : (
% 48.73/7.40 X = fmb_'C_update_a_update_fun$'_1 | X = fmb_'C_update_a_update_fun$'_2 | X = fmb_'C_update_a_update_fun$'_3 | X = fmb_'C_update_a_update_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 fmb_'C_update_a_update_fun$'_1 != fmb_'C_update_a_update_fun$'_2 & fmb_'C_update_a_update_fun$'_1 != fmb_'C_update_a_update_fun$'_3 & fmb_'C_update_a_update_fun$'_1 != fmb_'C_update_a_update_fun$'_4 & fmb_'C_update_a_update_fun$'_2 != fmb_'C_update_a_update_fun$'_3 & fmb_'C_update_a_update_fun$'_2 != fmb_'C_update_a_update_fun$'_4 &
% 48.73/7.40 fmb_'C_update_a_update_fun$'_3 != fmb_'C_update_a_update_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$',type,'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$':$tType).
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$1',type,'uua$':'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$2',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$3',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.40 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$4',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'] : (
% 48.73/7.40 X = 'uua$' | X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2 | X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3 | X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff(distinct_domain,axiom,
% 48.73/7.40 'uua$' != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2 & 'uua$' != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3 & 'uua$' != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4 & fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3 & fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4 &
% 48.73/7.40 fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3 != fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.40 ).
% 48.73/7.40
% 48.73/7.40 tff('declare_B_update$',type,'B_update$':$tType).
% 48.73/7.40 tff('declare_B_update$1',type,'id_update$j':'B_update$').
% 48.73/7.40 tff(finite_domain,axiom,
% 48.73/7.40 ! [X:'B_update$'] : (
% 48.73/7.40 X = 'id_update$j'
% 48.73/7.40 ) ).
% 48.73/7.40
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_b_c_prod_update_fun$',type,'A_b_c_prod_prod_update_b_c_prod_update_fun$':$tType).
% 48.73/7.40 tff('declare_A_b_c_prod_prod_update_b_c_prod_update_fun$1',type,fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1:'A_b_c_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_update_b_c_prod_update_fun$2',type,fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2:'A_b_c_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_update_b_c_prod_update_fun$3',type,fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_3:'A_b_c_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_update_b_c_prod_update_fun$4',type,fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4:'A_b_c_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_b_c_prod_prod_update_b_c_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1 | X = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2 & fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4 & fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_3 != fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_c_prod_update$',type,'E_c_prod_update$':$tType).
% 48.73/7.41 tff('declare_E_c_prod_update$1',type,fmb_'E_c_prod_update$'_1:'E_c_prod_update$').
% 48.73/7.41 tff('declare_E_c_prod_update$2',type,fmb_'E_c_prod_update$'_2:'E_c_prod_update$').
% 48.73/7.41 tff('declare_E_c_prod_update$3',type,fmb_'E_c_prod_update$'_3:'E_c_prod_update$').
% 48.73/7.41 tff('declare_E_c_prod_update$4',type,fmb_'E_c_prod_update$'_4:'E_c_prod_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_c_prod_update$'] : (
% 48.73/7.41 X = fmb_'E_c_prod_update$'_1 | X = fmb_'E_c_prod_update$'_2 | X = fmb_'E_c_prod_update$'_3 | X = fmb_'E_c_prod_update$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_c_prod_update$'_1 != fmb_'E_c_prod_update$'_2 & fmb_'E_c_prod_update$'_1 != fmb_'E_c_prod_update$'_3 & fmb_'E_c_prod_update$'_1 != fmb_'E_c_prod_update$'_4 & fmb_'E_c_prod_update$'_2 != fmb_'E_c_prod_update$'_3 & fmb_'E_c_prod_update$'_2 != fmb_'E_c_prod_update$'_4 &
% 48.73/7.41 fmb_'E_c_prod_update$'_3 != fmb_'E_c_prod_update$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$',type,'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$1',type,'collect$':'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$2',type,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2:'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$3',type,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3:'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$4',type,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4:'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'] : (
% 48.73/7.41 X = 'collect$' | X = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'collect$' != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2 & 'collect$' != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3 & 'collect$' != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4 & fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2 != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3 & fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2 != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3 != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_update_f_g_prod_update_fun$',type,'E_update_f_g_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_E_update_f_g_prod_update_fun$1',type,fmb_'E_update_f_g_prod_update_fun$'_1:'E_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_E_update_f_g_prod_update_fun$2',type,fmb_'E_update_f_g_prod_update_fun$'_2:'E_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_E_update_f_g_prod_update_fun$3',type,fmb_'E_update_f_g_prod_update_fun$'_3:'E_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_E_update_f_g_prod_update_fun$4',type,fmb_'E_update_f_g_prod_update_fun$'_4:'E_update_f_g_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_update_f_g_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'E_update_f_g_prod_update_fun$'_1 | X = fmb_'E_update_f_g_prod_update_fun$'_2 | X = fmb_'E_update_f_g_prod_update_fun$'_3 | X = fmb_'E_update_f_g_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_update_f_g_prod_update_fun$'_1 != fmb_'E_update_f_g_prod_update_fun$'_2 & fmb_'E_update_f_g_prod_update_fun$'_1 != fmb_'E_update_f_g_prod_update_fun$'_3 & fmb_'E_update_f_g_prod_update_fun$'_1 != fmb_'E_update_f_g_prod_update_fun$'_4 & fmb_'E_update_f_g_prod_update_fun$'_2 != fmb_'E_update_f_g_prod_update_fun$'_3 & fmb_'E_update_f_g_prod_update_fun$'_2 != fmb_'E_update_f_g_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'E_update_f_g_prod_update_fun$'_3 != fmb_'E_update_f_g_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_e_update_fun$',type,'E_f_g_prod_prod_update_e_update_fun$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_e_update_fun$1',type,fmb_'E_f_g_prod_prod_update_e_update_fun$'_1:'E_f_g_prod_prod_update_e_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_e_update_fun$2',type,fmb_'E_f_g_prod_prod_update_e_update_fun$'_2:'E_f_g_prod_prod_update_e_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_e_update_fun$3',type,fmb_'E_f_g_prod_prod_update_e_update_fun$'_3:'E_f_g_prod_prod_update_e_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_e_update_fun$4',type,fmb_'E_f_g_prod_prod_update_e_update_fun$'_4:'E_f_g_prod_prod_update_e_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_update_e_update_fun$'] : (
% 48.73/7.41 X = fmb_'E_f_g_prod_prod_update_e_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_e_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_e_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_e_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_e_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_e_update_fun$'_2 & fmb_'E_f_g_prod_prod_update_e_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_e_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_e_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_e_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_e_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_e_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_e_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_e_update_fun$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_e_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_e_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_G_update$',type,'G_update$':$tType).
% 48.73/7.41 tff('declare_G_update$1',type,'id_update$b':'G_update$').
% 48.73/7.41 tff('declare_G_update$2',type,fmb_'G_update$'_2:'G_update$').
% 48.73/7.41 tff('declare_G_update$3',type,fmb_'G_update$'_3:'G_update$').
% 48.73/7.41 tff('declare_G_update$4',type,fmb_'G_update$'_4:'G_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'G_update$'] : (
% 48.73/7.41 X = 'id_update$b' | X = fmb_'G_update$'_2 | X = fmb_'G_update$'_3 | X = fmb_'G_update$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'id_update$b' != fmb_'G_update$'_2 & 'id_update$b' != fmb_'G_update$'_3 & 'id_update$b' != fmb_'G_update$'_4 & fmb_'G_update$'_2 != fmb_'G_update$'_3 & fmb_'G_update$'_2 != fmb_'G_update$'_4 &
% 48.73/7.41 fmb_'G_update$'_3 != fmb_'G_update$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_D_itself_typerep_fun$',type,'D_itself_typerep_fun$':$tType).
% 48.73/7.41 tff('declare_D_itself_typerep_fun$1',type,fmb_'D_itself_typerep_fun$'_1:'D_itself_typerep_fun$').
% 48.73/7.41 tff('declare_D_itself_typerep_fun$2',type,fmb_'D_itself_typerep_fun$'_2:'D_itself_typerep_fun$').
% 48.73/7.41 tff('declare_D_itself_typerep_fun$3',type,fmb_'D_itself_typerep_fun$'_3:'D_itself_typerep_fun$').
% 48.73/7.41 tff('declare_D_itself_typerep_fun$4',type,fmb_'D_itself_typerep_fun$'_4:'D_itself_typerep_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'D_itself_typerep_fun$'] : (
% 48.73/7.41 X = fmb_'D_itself_typerep_fun$'_1 | X = fmb_'D_itself_typerep_fun$'_2 | X = fmb_'D_itself_typerep_fun$'_3 | X = fmb_'D_itself_typerep_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'D_itself_typerep_fun$'_1 != fmb_'D_itself_typerep_fun$'_2 & fmb_'D_itself_typerep_fun$'_1 != fmb_'D_itself_typerep_fun$'_3 & fmb_'D_itself_typerep_fun$'_1 != fmb_'D_itself_typerep_fun$'_4 & fmb_'D_itself_typerep_fun$'_2 != fmb_'D_itself_typerep_fun$'_3 & fmb_'D_itself_typerep_fun$'_2 != fmb_'D_itself_typerep_fun$'_4 &
% 48.73/7.41 fmb_'D_itself_typerep_fun$'_3 != fmb_'D_itself_typerep_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_f_g_prod_update_fun$',type,'A_update_f_g_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_f_g_prod_update_fun$1',type,fmb_'A_update_f_g_prod_update_fun$'_1:'A_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_g_prod_update_fun$2',type,fmb_'A_update_f_g_prod_update_fun$'_2:'A_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_g_prod_update_fun$3',type,fmb_'A_update_f_g_prod_update_fun$'_3:'A_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_g_prod_update_fun$4',type,fmb_'A_update_f_g_prod_update_fun$'_4:'A_update_f_g_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_f_g_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_update_f_g_prod_update_fun$'_1 | X = fmb_'A_update_f_g_prod_update_fun$'_2 | X = fmb_'A_update_f_g_prod_update_fun$'_3 | X = fmb_'A_update_f_g_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_update_f_g_prod_update_fun$'_1 != fmb_'A_update_f_g_prod_update_fun$'_2 & fmb_'A_update_f_g_prod_update_fun$'_1 != fmb_'A_update_f_g_prod_update_fun$'_3 & fmb_'A_update_f_g_prod_update_fun$'_1 != fmb_'A_update_f_g_prod_update_fun$'_4 & fmb_'A_update_f_g_prod_update_fun$'_2 != fmb_'A_update_f_g_prod_update_fun$'_3 & fmb_'A_update_f_g_prod_update_fun$'_2 != fmb_'A_update_f_g_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_update_f_g_prod_update_fun$'_3 != fmb_'A_update_f_g_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_F_b_prod_update_set$',type,'F_b_prod_update_set$':$tType).
% 48.73/7.41 tff('declare_F_b_prod_update_set$1',type,fmb_'F_b_prod_update_set$'_1:'F_b_prod_update_set$').
% 48.73/7.41 tff('declare_F_b_prod_update_set$2',type,fmb_'F_b_prod_update_set$'_2:'F_b_prod_update_set$').
% 48.73/7.41 tff('declare_F_b_prod_update_set$3',type,fmb_'F_b_prod_update_set$'_3:'F_b_prod_update_set$').
% 48.73/7.41 tff('declare_F_b_prod_update_set$4',type,fmb_'F_b_prod_update_set$'_4:'F_b_prod_update_set$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'F_b_prod_update_set$'] : (
% 48.73/7.41 X = fmb_'F_b_prod_update_set$'_1 | X = fmb_'F_b_prod_update_set$'_2 | X = fmb_'F_b_prod_update_set$'_3 | X = fmb_'F_b_prod_update_set$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'F_b_prod_update_set$'_1 != fmb_'F_b_prod_update_set$'_2 & fmb_'F_b_prod_update_set$'_1 != fmb_'F_b_prod_update_set$'_3 & fmb_'F_b_prod_update_set$'_1 != fmb_'F_b_prod_update_set$'_4 & fmb_'F_b_prod_update_set$'_2 != fmb_'F_b_prod_update_set$'_3 & fmb_'F_b_prod_update_set$'_2 != fmb_'F_b_prod_update_set$'_4 &
% 48.73/7.41 fmb_'F_b_prod_update_set$'_3 != fmb_'F_b_prod_update_set$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_F_c_prod_update_set$',type,'F_c_prod_update_set$':$tType).
% 48.73/7.41 tff('declare_F_c_prod_update_set$1',type,fmb_'F_c_prod_update_set$'_1:'F_c_prod_update_set$').
% 48.73/7.41 tff('declare_F_c_prod_update_set$2',type,fmb_'F_c_prod_update_set$'_2:'F_c_prod_update_set$').
% 48.73/7.41 tff('declare_F_c_prod_update_set$3',type,fmb_'F_c_prod_update_set$'_3:'F_c_prod_update_set$').
% 48.73/7.41 tff('declare_F_c_prod_update_set$4',type,fmb_'F_c_prod_update_set$'_4:'F_c_prod_update_set$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'F_c_prod_update_set$'] : (
% 48.73/7.41 X = fmb_'F_c_prod_update_set$'_1 | X = fmb_'F_c_prod_update_set$'_2 | X = fmb_'F_c_prod_update_set$'_3 | X = fmb_'F_c_prod_update_set$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'F_c_prod_update_set$'_1 != fmb_'F_c_prod_update_set$'_2 & fmb_'F_c_prod_update_set$'_1 != fmb_'F_c_prod_update_set$'_3 & fmb_'F_c_prod_update_set$'_1 != fmb_'F_c_prod_update_set$'_4 & fmb_'F_c_prod_update_set$'_2 != fmb_'F_c_prod_update_set$'_3 & fmb_'F_c_prod_update_set$'_2 != fmb_'F_c_prod_update_set$'_4 &
% 48.73/7.41 fmb_'F_c_prod_update_set$'_3 != fmb_'F_c_prod_update_set$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_a_prod_update_f_b_prod_update_fun$',type,'A_a_prod_update_f_b_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_a_prod_update_f_b_prod_update_fun$1',type,fmb_'A_a_prod_update_f_b_prod_update_fun$'_1:'A_a_prod_update_f_b_prod_update_fun$').
% 48.73/7.41 tff('declare_A_a_prod_update_f_b_prod_update_fun$2',type,fmb_'A_a_prod_update_f_b_prod_update_fun$'_2:'A_a_prod_update_f_b_prod_update_fun$').
% 48.73/7.41 tff('declare_A_a_prod_update_f_b_prod_update_fun$3',type,fmb_'A_a_prod_update_f_b_prod_update_fun$'_3:'A_a_prod_update_f_b_prod_update_fun$').
% 48.73/7.41 tff('declare_A_a_prod_update_f_b_prod_update_fun$4',type,fmb_'A_a_prod_update_f_b_prod_update_fun$'_4:'A_a_prod_update_f_b_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_a_prod_update_f_b_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_a_prod_update_f_b_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_f_b_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_f_b_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_f_b_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_a_prod_update_f_b_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_b_prod_update_fun$'_2 & fmb_'A_a_prod_update_f_b_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_b_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_b_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_b_prod_update_fun$'_4 & fmb_'A_a_prod_update_f_b_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_b_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_b_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_b_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_a_prod_update_f_b_prod_update_fun$'_3 != fmb_'A_a_prod_update_f_b_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_B_c_prod_update_c_update_fun$',type,'B_c_prod_update_c_update_fun$':$tType).
% 48.73/7.41 tff('declare_B_c_prod_update_c_update_fun$1',type,fmb_'B_c_prod_update_c_update_fun$'_1:'B_c_prod_update_c_update_fun$').
% 48.73/7.41 tff('declare_B_c_prod_update_c_update_fun$2',type,fmb_'B_c_prod_update_c_update_fun$'_2:'B_c_prod_update_c_update_fun$').
% 48.73/7.41 tff('declare_B_c_prod_update_c_update_fun$3',type,fmb_'B_c_prod_update_c_update_fun$'_3:'B_c_prod_update_c_update_fun$').
% 48.73/7.41 tff('declare_B_c_prod_update_c_update_fun$4',type,fmb_'B_c_prod_update_c_update_fun$'_4:'B_c_prod_update_c_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'B_c_prod_update_c_update_fun$'] : (
% 48.73/7.41 X = fmb_'B_c_prod_update_c_update_fun$'_1 | X = fmb_'B_c_prod_update_c_update_fun$'_2 | X = fmb_'B_c_prod_update_c_update_fun$'_3 | X = fmb_'B_c_prod_update_c_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'B_c_prod_update_c_update_fun$'_1 != fmb_'B_c_prod_update_c_update_fun$'_2 & fmb_'B_c_prod_update_c_update_fun$'_1 != fmb_'B_c_prod_update_c_update_fun$'_3 & fmb_'B_c_prod_update_c_update_fun$'_1 != fmb_'B_c_prod_update_c_update_fun$'_4 & fmb_'B_c_prod_update_c_update_fun$'_2 != fmb_'B_c_prod_update_c_update_fun$'_3 & fmb_'B_c_prod_update_c_update_fun$'_2 != fmb_'B_c_prod_update_c_update_fun$'_4 &
% 48.73/7.41 fmb_'B_c_prod_update_c_update_fun$'_3 != fmb_'B_c_prod_update_c_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_d_update_fun$',type,'E_f_g_prod_prod_update_d_update_fun$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_d_update_fun$1',type,fmb_'E_f_g_prod_prod_update_d_update_fun$'_1:'E_f_g_prod_prod_update_d_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_d_update_fun$2',type,fmb_'E_f_g_prod_prod_update_d_update_fun$'_2:'E_f_g_prod_prod_update_d_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_d_update_fun$3',type,fmb_'E_f_g_prod_prod_update_d_update_fun$'_3:'E_f_g_prod_prod_update_d_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_d_update_fun$4',type,fmb_'E_f_g_prod_prod_update_d_update_fun$'_4:'E_f_g_prod_prod_update_d_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_update_d_update_fun$'] : (
% 48.73/7.41 X = fmb_'E_f_g_prod_prod_update_d_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_d_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_d_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_d_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_d_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_d_update_fun$'_2 & fmb_'E_f_g_prod_prod_update_d_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_d_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_d_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_d_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_d_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_d_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_d_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_d_update_fun$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_d_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_d_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_set$',type,'E_f_g_prod_prod_update_bool_fun_set$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_set$1',type,'top$v':'E_f_g_prod_prod_update_bool_fun_set$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_set$2',type,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2:'E_f_g_prod_prod_update_bool_fun_set$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_set$3',type,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3:'E_f_g_prod_prod_update_bool_fun_set$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_set$4',type,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4:'E_f_g_prod_prod_update_bool_fun_set$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_update_bool_fun_set$'] : (
% 48.73/7.41 X = 'top$v' | X = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2 | X = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3 | X = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'top$v' != fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2 & 'top$v' != fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3 & 'top$v' != fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4 & fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2 != fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3 & fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2 != fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3 != fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_B_c_prod_update_g_update_fun$',type,'B_c_prod_update_g_update_fun$':$tType).
% 48.73/7.41 tff('declare_B_c_prod_update_g_update_fun$1',type,fmb_'B_c_prod_update_g_update_fun$'_1:'B_c_prod_update_g_update_fun$').
% 48.73/7.41 tff('declare_B_c_prod_update_g_update_fun$2',type,fmb_'B_c_prod_update_g_update_fun$'_2:'B_c_prod_update_g_update_fun$').
% 48.73/7.41 tff('declare_B_c_prod_update_g_update_fun$3',type,fmb_'B_c_prod_update_g_update_fun$'_3:'B_c_prod_update_g_update_fun$').
% 48.73/7.41 tff('declare_B_c_prod_update_g_update_fun$4',type,fmb_'B_c_prod_update_g_update_fun$'_4:'B_c_prod_update_g_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'B_c_prod_update_g_update_fun$'] : (
% 48.73/7.41 X = fmb_'B_c_prod_update_g_update_fun$'_1 | X = fmb_'B_c_prod_update_g_update_fun$'_2 | X = fmb_'B_c_prod_update_g_update_fun$'_3 | X = fmb_'B_c_prod_update_g_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'B_c_prod_update_g_update_fun$'_1 != fmb_'B_c_prod_update_g_update_fun$'_2 & fmb_'B_c_prod_update_g_update_fun$'_1 != fmb_'B_c_prod_update_g_update_fun$'_3 & fmb_'B_c_prod_update_g_update_fun$'_1 != fmb_'B_c_prod_update_g_update_fun$'_4 & fmb_'B_c_prod_update_g_update_fun$'_2 != fmb_'B_c_prod_update_g_update_fun$'_3 & fmb_'B_c_prod_update_g_update_fun$'_2 != fmb_'B_c_prod_update_g_update_fun$'_4 &
% 48.73/7.41 fmb_'B_c_prod_update_g_update_fun$'_3 != fmb_'B_c_prod_update_g_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_C_update_b_c_prod_update_fun$',type,'C_update_b_c_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_C_update_b_c_prod_update_fun$1',type,fmb_'C_update_b_c_prod_update_fun$'_1:'C_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_C_update_b_c_prod_update_fun$2',type,fmb_'C_update_b_c_prod_update_fun$'_2:'C_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_C_update_b_c_prod_update_fun$3',type,fmb_'C_update_b_c_prod_update_fun$'_3:'C_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_C_update_b_c_prod_update_fun$4',type,fmb_'C_update_b_c_prod_update_fun$'_4:'C_update_b_c_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'C_update_b_c_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'C_update_b_c_prod_update_fun$'_1 | X = fmb_'C_update_b_c_prod_update_fun$'_2 | X = fmb_'C_update_b_c_prod_update_fun$'_3 | X = fmb_'C_update_b_c_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'C_update_b_c_prod_update_fun$'_1 != fmb_'C_update_b_c_prod_update_fun$'_2 & fmb_'C_update_b_c_prod_update_fun$'_1 != fmb_'C_update_b_c_prod_update_fun$'_3 & fmb_'C_update_b_c_prod_update_fun$'_1 != fmb_'C_update_b_c_prod_update_fun$'_4 & fmb_'C_update_b_c_prod_update_fun$'_2 != fmb_'C_update_b_c_prod_update_fun$'_3 & fmb_'C_update_b_c_prod_update_fun$'_2 != fmb_'C_update_b_c_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'C_update_b_c_prod_update_fun$'_3 != fmb_'C_update_b_c_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_G_update_e_update_fun$',type,'G_update_e_update_fun$':$tType).
% 48.73/7.41 tff('declare_G_update_e_update_fun$1',type,fmb_'G_update_e_update_fun$'_1:'G_update_e_update_fun$').
% 48.73/7.41 tff('declare_G_update_e_update_fun$2',type,fmb_'G_update_e_update_fun$'_2:'G_update_e_update_fun$').
% 48.73/7.41 tff('declare_G_update_e_update_fun$3',type,fmb_'G_update_e_update_fun$'_3:'G_update_e_update_fun$').
% 48.73/7.41 tff('declare_G_update_e_update_fun$4',type,fmb_'G_update_e_update_fun$'_4:'G_update_e_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'G_update_e_update_fun$'] : (
% 48.73/7.41 X = fmb_'G_update_e_update_fun$'_1 | X = fmb_'G_update_e_update_fun$'_2 | X = fmb_'G_update_e_update_fun$'_3 | X = fmb_'G_update_e_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'G_update_e_update_fun$'_1 != fmb_'G_update_e_update_fun$'_2 & fmb_'G_update_e_update_fun$'_1 != fmb_'G_update_e_update_fun$'_3 & fmb_'G_update_e_update_fun$'_1 != fmb_'G_update_e_update_fun$'_4 & fmb_'G_update_e_update_fun$'_2 != fmb_'G_update_e_update_fun$'_3 & fmb_'G_update_e_update_fun$'_2 != fmb_'G_update_e_update_fun$'_4 &
% 48.73/7.41 fmb_'G_update_e_update_fun$'_3 != fmb_'G_update_e_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_D_typerep_fun$',type,'D_typerep_fun$':$tType).
% 48.73/7.41 tff('declare_D_typerep_fun$1',type,fmb_'D_typerep_fun$'_1:'D_typerep_fun$').
% 48.73/7.41 tff('declare_D_typerep_fun$2',type,fmb_'D_typerep_fun$'_2:'D_typerep_fun$').
% 48.73/7.41 tff('declare_D_typerep_fun$3',type,fmb_'D_typerep_fun$'_3:'D_typerep_fun$').
% 48.73/7.41 tff('declare_D_typerep_fun$4',type,fmb_'D_typerep_fun$'_4:'D_typerep_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'D_typerep_fun$'] : (
% 48.73/7.41 X = fmb_'D_typerep_fun$'_1 | X = fmb_'D_typerep_fun$'_2 | X = fmb_'D_typerep_fun$'_3 | X = fmb_'D_typerep_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'D_typerep_fun$'_1 != fmb_'D_typerep_fun$'_2 & fmb_'D_typerep_fun$'_1 != fmb_'D_typerep_fun$'_3 & fmb_'D_typerep_fun$'_1 != fmb_'D_typerep_fun$'_4 & fmb_'D_typerep_fun$'_2 != fmb_'D_typerep_fun$'_3 & fmb_'D_typerep_fun$'_2 != fmb_'D_typerep_fun$'_4 &
% 48.73/7.41 fmb_'D_typerep_fun$'_3 != fmb_'D_typerep_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update$',type,'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_e_f_g_prod_prod_prod_update$1',type,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'] : (
% 48.73/7.41 X = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff('declare_F_e_prod_update$',type,'F_e_prod_update$':$tType).
% 48.73/7.41 tff('declare_F_e_prod_update$1',type,fmb_'F_e_prod_update$'_1:'F_e_prod_update$').
% 48.73/7.41 tff('declare_F_e_prod_update$2',type,fmb_'F_e_prod_update$'_2:'F_e_prod_update$').
% 48.73/7.41 tff('declare_F_e_prod_update$3',type,fmb_'F_e_prod_update$'_3:'F_e_prod_update$').
% 48.73/7.41 tff('declare_F_e_prod_update$4',type,fmb_'F_e_prod_update$'_4:'F_e_prod_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'F_e_prod_update$'] : (
% 48.73/7.41 X = fmb_'F_e_prod_update$'_1 | X = fmb_'F_e_prod_update$'_2 | X = fmb_'F_e_prod_update$'_3 | X = fmb_'F_e_prod_update$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'F_e_prod_update$'_1 != fmb_'F_e_prod_update$'_2 & fmb_'F_e_prod_update$'_1 != fmb_'F_e_prod_update$'_3 & fmb_'F_e_prod_update$'_1 != fmb_'F_e_prod_update$'_4 & fmb_'F_e_prod_update$'_2 != fmb_'F_e_prod_update$'_3 & fmb_'F_e_prod_update$'_2 != fmb_'F_e_prod_update$'_4 &
% 48.73/7.41 fmb_'F_e_prod_update$'_3 != fmb_'F_e_prod_update$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_a_prod_update_f_e_prod_update_fun$',type,'A_a_prod_update_f_e_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_a_prod_update_f_e_prod_update_fun$1',type,fmb_'A_a_prod_update_f_e_prod_update_fun$'_1:'A_a_prod_update_f_e_prod_update_fun$').
% 48.73/7.41 tff('declare_A_a_prod_update_f_e_prod_update_fun$2',type,fmb_'A_a_prod_update_f_e_prod_update_fun$'_2:'A_a_prod_update_f_e_prod_update_fun$').
% 48.73/7.41 tff('declare_A_a_prod_update_f_e_prod_update_fun$3',type,fmb_'A_a_prod_update_f_e_prod_update_fun$'_3:'A_a_prod_update_f_e_prod_update_fun$').
% 48.73/7.41 tff('declare_A_a_prod_update_f_e_prod_update_fun$4',type,fmb_'A_a_prod_update_f_e_prod_update_fun$'_4:'A_a_prod_update_f_e_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_a_prod_update_f_e_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_a_prod_update_f_e_prod_update_fun$'_1 | X = fmb_'A_a_prod_update_f_e_prod_update_fun$'_2 | X = fmb_'A_a_prod_update_f_e_prod_update_fun$'_3 | X = fmb_'A_a_prod_update_f_e_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_a_prod_update_f_e_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_e_prod_update_fun$'_2 & fmb_'A_a_prod_update_f_e_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_e_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_e_prod_update_fun$'_1 != fmb_'A_a_prod_update_f_e_prod_update_fun$'_4 & fmb_'A_a_prod_update_f_e_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_e_prod_update_fun$'_3 & fmb_'A_a_prod_update_f_e_prod_update_fun$'_2 != fmb_'A_a_prod_update_f_e_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_a_prod_update_f_e_prod_update_fun$'_3 != fmb_'A_a_prod_update_f_e_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_c_update_fun$',type,'E_f_g_prod_prod_update_c_update_fun$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_c_update_fun$1',type,fmb_'E_f_g_prod_prod_update_c_update_fun$'_1:'E_f_g_prod_prod_update_c_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_c_update_fun$2',type,fmb_'E_f_g_prod_prod_update_c_update_fun$'_2:'E_f_g_prod_prod_update_c_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_c_update_fun$3',type,fmb_'E_f_g_prod_prod_update_c_update_fun$'_3:'E_f_g_prod_prod_update_c_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_c_update_fun$4',type,fmb_'E_f_g_prod_prod_update_c_update_fun$'_4:'E_f_g_prod_prod_update_c_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_update_c_update_fun$'] : (
% 48.73/7.41 X = fmb_'E_f_g_prod_prod_update_c_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_c_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_c_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_c_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_c_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_c_update_fun$'_2 & fmb_'E_f_g_prod_prod_update_c_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_c_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_c_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_c_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_c_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_c_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_c_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_c_update_fun$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_c_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_c_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_C_update_f_g_prod_update_fun$',type,'C_update_f_g_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_C_update_f_g_prod_update_fun$1',type,fmb_'C_update_f_g_prod_update_fun$'_1:'C_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_C_update_f_g_prod_update_fun$2',type,fmb_'C_update_f_g_prod_update_fun$'_2:'C_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_C_update_f_g_prod_update_fun$3',type,fmb_'C_update_f_g_prod_update_fun$'_3:'C_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('declare_C_update_f_g_prod_update_fun$4',type,fmb_'C_update_f_g_prod_update_fun$'_4:'C_update_f_g_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'C_update_f_g_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'C_update_f_g_prod_update_fun$'_1 | X = fmb_'C_update_f_g_prod_update_fun$'_2 | X = fmb_'C_update_f_g_prod_update_fun$'_3 | X = fmb_'C_update_f_g_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'C_update_f_g_prod_update_fun$'_1 != fmb_'C_update_f_g_prod_update_fun$'_2 & fmb_'C_update_f_g_prod_update_fun$'_1 != fmb_'C_update_f_g_prod_update_fun$'_3 & fmb_'C_update_f_g_prod_update_fun$'_1 != fmb_'C_update_f_g_prod_update_fun$'_4 & fmb_'C_update_f_g_prod_update_fun$'_2 != fmb_'C_update_f_g_prod_update_fun$'_3 & fmb_'C_update_f_g_prod_update_fun$'_2 != fmb_'C_update_f_g_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'C_update_f_g_prod_update_fun$'_3 != fmb_'C_update_f_g_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_F_g_prod_update_g_update_fun$',type,'F_g_prod_update_g_update_fun$':$tType).
% 48.73/7.41 tff('declare_F_g_prod_update_g_update_fun$1',type,fmb_'F_g_prod_update_g_update_fun$'_1:'F_g_prod_update_g_update_fun$').
% 48.73/7.41 tff('declare_F_g_prod_update_g_update_fun$2',type,fmb_'F_g_prod_update_g_update_fun$'_2:'F_g_prod_update_g_update_fun$').
% 48.73/7.41 tff('declare_F_g_prod_update_g_update_fun$3',type,fmb_'F_g_prod_update_g_update_fun$'_3:'F_g_prod_update_g_update_fun$').
% 48.73/7.41 tff('declare_F_g_prod_update_g_update_fun$4',type,fmb_'F_g_prod_update_g_update_fun$'_4:'F_g_prod_update_g_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'F_g_prod_update_g_update_fun$'] : (
% 48.73/7.41 X = fmb_'F_g_prod_update_g_update_fun$'_1 | X = fmb_'F_g_prod_update_g_update_fun$'_2 | X = fmb_'F_g_prod_update_g_update_fun$'_3 | X = fmb_'F_g_prod_update_g_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'F_g_prod_update_g_update_fun$'_1 != fmb_'F_g_prod_update_g_update_fun$'_2 & fmb_'F_g_prod_update_g_update_fun$'_1 != fmb_'F_g_prod_update_g_update_fun$'_3 & fmb_'F_g_prod_update_g_update_fun$'_1 != fmb_'F_g_prod_update_g_update_fun$'_4 & fmb_'F_g_prod_update_g_update_fun$'_2 != fmb_'F_g_prod_update_g_update_fun$'_3 & fmb_'F_g_prod_update_g_update_fun$'_2 != fmb_'F_g_prod_update_g_update_fun$'_4 &
% 48.73/7.41 fmb_'F_g_prod_update_g_update_fun$'_3 != fmb_'F_g_prod_update_g_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_C_update_c_update_fun$',type,'C_update_c_update_fun$':$tType).
% 48.73/7.41 tff('declare_C_update_c_update_fun$1',type,fmb_'C_update_c_update_fun$'_1:'C_update_c_update_fun$').
% 48.73/7.41 tff('declare_C_update_c_update_fun$2',type,fmb_'C_update_c_update_fun$'_2:'C_update_c_update_fun$').
% 48.73/7.41 tff('declare_C_update_c_update_fun$3',type,fmb_'C_update_c_update_fun$'_3:'C_update_c_update_fun$').
% 48.73/7.41 tff('declare_C_update_c_update_fun$4',type,fmb_'C_update_c_update_fun$'_4:'C_update_c_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'C_update_c_update_fun$'] : (
% 48.73/7.41 X = fmb_'C_update_c_update_fun$'_1 | X = fmb_'C_update_c_update_fun$'_2 | X = fmb_'C_update_c_update_fun$'_3 | X = fmb_'C_update_c_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'C_update_c_update_fun$'_1 != fmb_'C_update_c_update_fun$'_2 & fmb_'C_update_c_update_fun$'_1 != fmb_'C_update_c_update_fun$'_3 & fmb_'C_update_c_update_fun$'_1 != fmb_'C_update_c_update_fun$'_4 & fmb_'C_update_c_update_fun$'_2 != fmb_'C_update_c_update_fun$'_3 & fmb_'C_update_c_update_fun$'_2 != fmb_'C_update_c_update_fun$'_4 &
% 48.73/7.41 fmb_'C_update_c_update_fun$'_3 != fmb_'C_update_c_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$',type,'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$1',type,fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1:'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$2',type,fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2:'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$3',type,fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3:'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$4',type,fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4:'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1 | X = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2 & fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4 & fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3 != fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_c_f_prod_update_fun$',type,'A_update_c_f_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_c_f_prod_update_fun$1',type,fmb_'A_update_c_f_prod_update_fun$'_1:'A_update_c_f_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_c_f_prod_update_fun$2',type,fmb_'A_update_c_f_prod_update_fun$'_2:'A_update_c_f_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_c_f_prod_update_fun$3',type,fmb_'A_update_c_f_prod_update_fun$'_3:'A_update_c_f_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_c_f_prod_update_fun$4',type,fmb_'A_update_c_f_prod_update_fun$'_4:'A_update_c_f_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_c_f_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_update_c_f_prod_update_fun$'_1 | X = fmb_'A_update_c_f_prod_update_fun$'_2 | X = fmb_'A_update_c_f_prod_update_fun$'_3 | X = fmb_'A_update_c_f_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_update_c_f_prod_update_fun$'_1 != fmb_'A_update_c_f_prod_update_fun$'_2 & fmb_'A_update_c_f_prod_update_fun$'_1 != fmb_'A_update_c_f_prod_update_fun$'_3 & fmb_'A_update_c_f_prod_update_fun$'_1 != fmb_'A_update_c_f_prod_update_fun$'_4 & fmb_'A_update_c_f_prod_update_fun$'_2 != fmb_'A_update_c_f_prod_update_fun$'_3 & fmb_'A_update_c_f_prod_update_fun$'_2 != fmb_'A_update_c_f_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_update_c_f_prod_update_fun$'_3 != fmb_'A_update_c_f_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$',type,'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$1',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_1:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$2',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_2:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$3',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_3:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$').
% 48.73/7.41 tff('declare_A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$4',type,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_4:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_1 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_2 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_3 | X = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_2 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_1 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_4 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_3 & fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_2 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_3 != fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_f_c_prod_update_fun$',type,'A_update_f_c_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_f_c_prod_update_fun$1',type,fmb_'A_update_f_c_prod_update_fun$'_1:'A_update_f_c_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_c_prod_update_fun$2',type,fmb_'A_update_f_c_prod_update_fun$'_2:'A_update_f_c_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_c_prod_update_fun$3',type,fmb_'A_update_f_c_prod_update_fun$'_3:'A_update_f_c_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_c_prod_update_fun$4',type,fmb_'A_update_f_c_prod_update_fun$'_4:'A_update_f_c_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_f_c_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_update_f_c_prod_update_fun$'_1 | X = fmb_'A_update_f_c_prod_update_fun$'_2 | X = fmb_'A_update_f_c_prod_update_fun$'_3 | X = fmb_'A_update_f_c_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_update_f_c_prod_update_fun$'_1 != fmb_'A_update_f_c_prod_update_fun$'_2 & fmb_'A_update_f_c_prod_update_fun$'_1 != fmb_'A_update_f_c_prod_update_fun$'_3 & fmb_'A_update_f_c_prod_update_fun$'_1 != fmb_'A_update_f_c_prod_update_fun$'_4 & fmb_'A_update_f_c_prod_update_fun$'_2 != fmb_'A_update_f_c_prod_update_fun$'_3 & fmb_'A_update_f_c_prod_update_fun$'_2 != fmb_'A_update_f_c_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_update_f_c_prod_update_fun$'_3 != fmb_'A_update_f_c_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_itself$',type,'E_f_g_prod_prod_itself$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_itself$1',type,'type$c':'E_f_g_prod_prod_itself$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_itself$2',type,fmb_'E_f_g_prod_prod_itself$'_2:'E_f_g_prod_prod_itself$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_itself$3',type,fmb_'E_f_g_prod_prod_itself$'_3:'E_f_g_prod_prod_itself$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_itself$4',type,fmb_'E_f_g_prod_prod_itself$'_4:'E_f_g_prod_prod_itself$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_itself$'] : (
% 48.73/7.41 X = 'type$c' | X = fmb_'E_f_g_prod_prod_itself$'_2 | X = fmb_'E_f_g_prod_prod_itself$'_3 | X = fmb_'E_f_g_prod_prod_itself$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'type$c' != fmb_'E_f_g_prod_prod_itself$'_2 & 'type$c' != fmb_'E_f_g_prod_prod_itself$'_3 & 'type$c' != fmb_'E_f_g_prod_prod_itself$'_4 & fmb_'E_f_g_prod_prod_itself$'_2 != fmb_'E_f_g_prod_prod_itself$'_3 & fmb_'E_f_g_prod_prod_itself$'_2 != fmb_'E_f_g_prod_prod_itself$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_itself$'_3 != fmb_'E_f_g_prod_prod_itself$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_update_a_update_fun$',type,'E_update_a_update_fun$':$tType).
% 48.73/7.41 tff('declare_E_update_a_update_fun$1',type,fmb_'E_update_a_update_fun$'_1:'E_update_a_update_fun$').
% 48.73/7.41 tff('declare_E_update_a_update_fun$2',type,fmb_'E_update_a_update_fun$'_2:'E_update_a_update_fun$').
% 48.73/7.41 tff('declare_E_update_a_update_fun$3',type,fmb_'E_update_a_update_fun$'_3:'E_update_a_update_fun$').
% 48.73/7.41 tff('declare_E_update_a_update_fun$4',type,fmb_'E_update_a_update_fun$'_4:'E_update_a_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_update_a_update_fun$'] : (
% 48.73/7.41 X = fmb_'E_update_a_update_fun$'_1 | X = fmb_'E_update_a_update_fun$'_2 | X = fmb_'E_update_a_update_fun$'_3 | X = fmb_'E_update_a_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_update_a_update_fun$'_1 != fmb_'E_update_a_update_fun$'_2 & fmb_'E_update_a_update_fun$'_1 != fmb_'E_update_a_update_fun$'_3 & fmb_'E_update_a_update_fun$'_1 != fmb_'E_update_a_update_fun$'_4 & fmb_'E_update_a_update_fun$'_2 != fmb_'E_update_a_update_fun$'_3 & fmb_'E_update_a_update_fun$'_2 != fmb_'E_update_a_update_fun$'_4 &
% 48.73/7.41 fmb_'E_update_a_update_fun$'_3 != fmb_'E_update_a_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_Bool_set$',type,'Bool_set$':$tType).
% 48.73/7.41 tff('declare_Bool_set$1',type,fmb_'Bool_set$'_1:'Bool_set$').
% 48.73/7.41 tff('declare_Bool_set$2',type,fmb_'Bool_set$'_2:'Bool_set$').
% 48.73/7.41 tff('declare_Bool_set$3',type,fmb_'Bool_set$'_3:'Bool_set$').
% 48.73/7.41 tff('declare_Bool_set$4',type,fmb_'Bool_set$'_4:'Bool_set$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'Bool_set$'] : (
% 48.73/7.41 X = fmb_'Bool_set$'_1 | X = fmb_'Bool_set$'_2 | X = fmb_'Bool_set$'_3 | X = fmb_'Bool_set$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'Bool_set$'_1 != fmb_'Bool_set$'_2 & fmb_'Bool_set$'_1 != fmb_'Bool_set$'_3 & fmb_'Bool_set$'_1 != fmb_'Bool_set$'_4 & fmb_'Bool_set$'_2 != fmb_'Bool_set$'_3 & fmb_'Bool_set$'_2 != fmb_'Bool_set$'_4 &
% 48.73/7.41 fmb_'Bool_set$'_3 != fmb_'Bool_set$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_a_b_c_prod_prod_update_fun$',type,'A_update_a_b_c_prod_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_a_b_c_prod_prod_update_fun$1',type,'uxl$':'A_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_a_b_c_prod_prod_update_fun$2',type,fmb_'A_update_a_b_c_prod_prod_update_fun$'_2:'A_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_a_b_c_prod_prod_update_fun$3',type,fmb_'A_update_a_b_c_prod_prod_update_fun$'_3:'A_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_a_b_c_prod_prod_update_fun$4',type,fmb_'A_update_a_b_c_prod_prod_update_fun$'_4:'A_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_a_b_c_prod_prod_update_fun$'] : (
% 48.73/7.41 X = 'uxl$' | X = fmb_'A_update_a_b_c_prod_prod_update_fun$'_2 | X = fmb_'A_update_a_b_c_prod_prod_update_fun$'_3 | X = fmb_'A_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'uxl$' != fmb_'A_update_a_b_c_prod_prod_update_fun$'_2 & 'uxl$' != fmb_'A_update_a_b_c_prod_prod_update_fun$'_3 & 'uxl$' != fmb_'A_update_a_b_c_prod_prod_update_fun$'_4 & fmb_'A_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'A_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'A_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'A_update_a_b_c_prod_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_update_a_b_c_prod_prod_update_fun$'_3 != fmb_'A_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_B_update_bool_fun$',type,'B_update_bool_fun$':$tType).
% 48.73/7.41 tff('declare_B_update_bool_fun$1',type,'top$s':'B_update_bool_fun$').
% 48.73/7.41 tff('declare_B_update_bool_fun$2',type,fmb_'B_update_bool_fun$'_2:'B_update_bool_fun$').
% 48.73/7.41 tff('declare_B_update_bool_fun$3',type,fmb_'B_update_bool_fun$'_3:'B_update_bool_fun$').
% 48.73/7.41 tff('declare_B_update_bool_fun$4',type,fmb_'B_update_bool_fun$'_4:'B_update_bool_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'B_update_bool_fun$'] : (
% 48.73/7.41 X = 'top$s' | X = fmb_'B_update_bool_fun$'_2 | X = fmb_'B_update_bool_fun$'_3 | X = fmb_'B_update_bool_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'top$s' != fmb_'B_update_bool_fun$'_2 & 'top$s' != fmb_'B_update_bool_fun$'_3 & 'top$s' != fmb_'B_update_bool_fun$'_4 & fmb_'B_update_bool_fun$'_2 != fmb_'B_update_bool_fun$'_3 & fmb_'B_update_bool_fun$'_2 != fmb_'B_update_bool_fun$'_4 &
% 48.73/7.41 fmb_'B_update_bool_fun$'_3 != fmb_'B_update_bool_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_update_fun$',type,'E_f_g_prod_prod_update_a_update_fun$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_update_fun$1',type,fmb_'E_f_g_prod_prod_update_a_update_fun$'_1:'E_f_g_prod_prod_update_a_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_update_fun$2',type,fmb_'E_f_g_prod_prod_update_a_update_fun$'_2:'E_f_g_prod_prod_update_a_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_update_fun$3',type,fmb_'E_f_g_prod_prod_update_a_update_fun$'_3:'E_f_g_prod_prod_update_a_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_update_fun$4',type,fmb_'E_f_g_prod_prod_update_a_update_fun$'_4:'E_f_g_prod_prod_update_a_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_update_a_update_fun$'] : (
% 48.73/7.41 X = fmb_'E_f_g_prod_prod_update_a_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_a_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_a_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_a_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_a_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_a_update_fun$'_2 & fmb_'E_f_g_prod_prod_update_a_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_a_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_a_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_a_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_a_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_a_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_a_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_a_update_fun$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_a_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_a_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_B_update_f_update_fun$',type,'B_update_f_update_fun$':$tType).
% 48.73/7.41 tff('declare_B_update_f_update_fun$1',type,fmb_'B_update_f_update_fun$'_1:'B_update_f_update_fun$').
% 48.73/7.41 tff('declare_B_update_f_update_fun$2',type,fmb_'B_update_f_update_fun$'_2:'B_update_f_update_fun$').
% 48.73/7.41 tff('declare_B_update_f_update_fun$3',type,fmb_'B_update_f_update_fun$'_3:'B_update_f_update_fun$').
% 48.73/7.41 tff('declare_B_update_f_update_fun$4',type,fmb_'B_update_f_update_fun$'_4:'B_update_f_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'B_update_f_update_fun$'] : (
% 48.73/7.41 X = fmb_'B_update_f_update_fun$'_1 | X = fmb_'B_update_f_update_fun$'_2 | X = fmb_'B_update_f_update_fun$'_3 | X = fmb_'B_update_f_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'B_update_f_update_fun$'_1 != fmb_'B_update_f_update_fun$'_2 & fmb_'B_update_f_update_fun$'_1 != fmb_'B_update_f_update_fun$'_3 & fmb_'B_update_f_update_fun$'_1 != fmb_'B_update_f_update_fun$'_4 & fmb_'B_update_f_update_fun$'_2 != fmb_'B_update_f_update_fun$'_3 & fmb_'B_update_f_update_fun$'_2 != fmb_'B_update_f_update_fun$'_4 &
% 48.73/7.41 fmb_'B_update_f_update_fun$'_3 != fmb_'B_update_f_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_F_update$',type,'F_update$':$tType).
% 48.73/7.41 tff('declare_F_update$1',type,'id_update$i':'F_update$').
% 48.73/7.41 tff('declare_F_update$2',type,fmb_'F_update$'_2:'F_update$').
% 48.73/7.41 tff('declare_F_update$3',type,fmb_'F_update$'_3:'F_update$').
% 48.73/7.41 tff('declare_F_update$4',type,fmb_'F_update$'_4:'F_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'F_update$'] : (
% 48.73/7.41 X = 'id_update$i' | X = fmb_'F_update$'_2 | X = fmb_'F_update$'_3 | X = fmb_'F_update$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'id_update$i' != fmb_'F_update$'_2 & 'id_update$i' != fmb_'F_update$'_3 & 'id_update$i' != fmb_'F_update$'_4 & fmb_'F_update$'_2 != fmb_'F_update$'_3 & fmb_'F_update$'_2 != fmb_'F_update$'_4 &
% 48.73/7.41 fmb_'F_update$'_3 != fmb_'F_update$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_C_update_d_update_fun$',type,'C_update_d_update_fun$':$tType).
% 48.73/7.41 tff('declare_C_update_d_update_fun$1',type,fmb_'C_update_d_update_fun$'_1:'C_update_d_update_fun$').
% 48.73/7.41 tff('declare_C_update_d_update_fun$2',type,fmb_'C_update_d_update_fun$'_2:'C_update_d_update_fun$').
% 48.73/7.41 tff('declare_C_update_d_update_fun$3',type,fmb_'C_update_d_update_fun$'_3:'C_update_d_update_fun$').
% 48.73/7.41 tff('declare_C_update_d_update_fun$4',type,fmb_'C_update_d_update_fun$'_4:'C_update_d_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'C_update_d_update_fun$'] : (
% 48.73/7.41 X = fmb_'C_update_d_update_fun$'_1 | X = fmb_'C_update_d_update_fun$'_2 | X = fmb_'C_update_d_update_fun$'_3 | X = fmb_'C_update_d_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'C_update_d_update_fun$'_1 != fmb_'C_update_d_update_fun$'_2 & fmb_'C_update_d_update_fun$'_1 != fmb_'C_update_d_update_fun$'_3 & fmb_'C_update_d_update_fun$'_1 != fmb_'C_update_d_update_fun$'_4 & fmb_'C_update_d_update_fun$'_2 != fmb_'C_update_d_update_fun$'_3 & fmb_'C_update_d_update_fun$'_2 != fmb_'C_update_d_update_fun$'_4 &
% 48.73/7.41 fmb_'C_update_d_update_fun$'_3 != fmb_'C_update_d_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_bool_fun$',type,'A_update_bool_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_bool_fun$1',type,'top$t':'A_update_bool_fun$').
% 48.73/7.41 tff('declare_A_update_bool_fun$2',type,fmb_'A_update_bool_fun$'_2:'A_update_bool_fun$').
% 48.73/7.41 tff('declare_A_update_bool_fun$3',type,fmb_'A_update_bool_fun$'_3:'A_update_bool_fun$').
% 48.73/7.41 tff('declare_A_update_bool_fun$4',type,fmb_'A_update_bool_fun$'_4:'A_update_bool_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_bool_fun$'] : (
% 48.73/7.41 X = 'top$t' | X = fmb_'A_update_bool_fun$'_2 | X = fmb_'A_update_bool_fun$'_3 | X = fmb_'A_update_bool_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'top$t' != fmb_'A_update_bool_fun$'_2 & 'top$t' != fmb_'A_update_bool_fun$'_3 & 'top$t' != fmb_'A_update_bool_fun$'_4 & fmb_'A_update_bool_fun$'_2 != fmb_'A_update_bool_fun$'_3 & fmb_'A_update_bool_fun$'_2 != fmb_'A_update_bool_fun$'_4 &
% 48.73/7.41 fmb_'A_update_bool_fun$'_3 != fmb_'A_update_bool_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_B_c_prod_update$',type,'B_c_prod_update$':$tType).
% 48.73/7.41 tff('declare_B_c_prod_update$1',type,'id_update$f':'B_c_prod_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'B_c_prod_update$'] : (
% 48.73/7.41 X = 'id_update$f'
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff('declare_G_update_b_c_prod_update_fun$',type,'G_update_b_c_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_G_update_b_c_prod_update_fun$1',type,fmb_'G_update_b_c_prod_update_fun$'_1:'G_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_G_update_b_c_prod_update_fun$2',type,fmb_'G_update_b_c_prod_update_fun$'_2:'G_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_G_update_b_c_prod_update_fun$3',type,fmb_'G_update_b_c_prod_update_fun$'_3:'G_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('declare_G_update_b_c_prod_update_fun$4',type,fmb_'G_update_b_c_prod_update_fun$'_4:'G_update_b_c_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'G_update_b_c_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'G_update_b_c_prod_update_fun$'_1 | X = fmb_'G_update_b_c_prod_update_fun$'_2 | X = fmb_'G_update_b_c_prod_update_fun$'_3 | X = fmb_'G_update_b_c_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'G_update_b_c_prod_update_fun$'_1 != fmb_'G_update_b_c_prod_update_fun$'_2 & fmb_'G_update_b_c_prod_update_fun$'_1 != fmb_'G_update_b_c_prod_update_fun$'_3 & fmb_'G_update_b_c_prod_update_fun$'_1 != fmb_'G_update_b_c_prod_update_fun$'_4 & fmb_'G_update_b_c_prod_update_fun$'_2 != fmb_'G_update_b_c_prod_update_fun$'_3 & fmb_'G_update_b_c_prod_update_fun$'_2 != fmb_'G_update_b_c_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'G_update_b_c_prod_update_fun$'_3 != fmb_'G_update_b_c_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_f_update_fun$',type,'A_update_f_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_f_update_fun$1',type,fmb_'A_update_f_update_fun$'_1:'A_update_f_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_update_fun$2',type,fmb_'A_update_f_update_fun$'_2:'A_update_f_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_update_fun$3',type,fmb_'A_update_f_update_fun$'_3:'A_update_f_update_fun$').
% 48.73/7.41 tff('declare_A_update_f_update_fun$4',type,fmb_'A_update_f_update_fun$'_4:'A_update_f_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_f_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_update_f_update_fun$'_1 | X = fmb_'A_update_f_update_fun$'_2 | X = fmb_'A_update_f_update_fun$'_3 | X = fmb_'A_update_f_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_update_f_update_fun$'_1 != fmb_'A_update_f_update_fun$'_2 & fmb_'A_update_f_update_fun$'_1 != fmb_'A_update_f_update_fun$'_3 & fmb_'A_update_f_update_fun$'_1 != fmb_'A_update_f_update_fun$'_4 & fmb_'A_update_f_update_fun$'_2 != fmb_'A_update_f_update_fun$'_3 & fmb_'A_update_f_update_fun$'_2 != fmb_'A_update_f_update_fun$'_4 &
% 48.73/7.41 fmb_'A_update_f_update_fun$'_3 != fmb_'A_update_f_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_D_update_e_update_fun$',type,'D_update_e_update_fun$':$tType).
% 48.73/7.41 tff('declare_D_update_e_update_fun$1',type,fmb_'D_update_e_update_fun$'_1:'D_update_e_update_fun$').
% 48.73/7.41 tff('declare_D_update_e_update_fun$2',type,fmb_'D_update_e_update_fun$'_2:'D_update_e_update_fun$').
% 48.73/7.41 tff('declare_D_update_e_update_fun$3',type,fmb_'D_update_e_update_fun$'_3:'D_update_e_update_fun$').
% 48.73/7.41 tff('declare_D_update_e_update_fun$4',type,fmb_'D_update_e_update_fun$'_4:'D_update_e_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'D_update_e_update_fun$'] : (
% 48.73/7.41 X = fmb_'D_update_e_update_fun$'_1 | X = fmb_'D_update_e_update_fun$'_2 | X = fmb_'D_update_e_update_fun$'_3 | X = fmb_'D_update_e_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'D_update_e_update_fun$'_1 != fmb_'D_update_e_update_fun$'_2 & fmb_'D_update_e_update_fun$'_1 != fmb_'D_update_e_update_fun$'_3 & fmb_'D_update_e_update_fun$'_1 != fmb_'D_update_e_update_fun$'_4 & fmb_'D_update_e_update_fun$'_2 != fmb_'D_update_e_update_fun$'_3 & fmb_'D_update_e_update_fun$'_2 != fmb_'D_update_e_update_fun$'_4 &
% 48.73/7.41 fmb_'D_update_e_update_fun$'_3 != fmb_'D_update_e_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_e_a_prod_update_fun$',type,'A_update_e_a_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_e_a_prod_update_fun$1',type,fmb_'A_update_e_a_prod_update_fun$'_1:'A_update_e_a_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_e_a_prod_update_fun$2',type,fmb_'A_update_e_a_prod_update_fun$'_2:'A_update_e_a_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_e_a_prod_update_fun$3',type,fmb_'A_update_e_a_prod_update_fun$'_3:'A_update_e_a_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_e_a_prod_update_fun$4',type,fmb_'A_update_e_a_prod_update_fun$'_4:'A_update_e_a_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_e_a_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_update_e_a_prod_update_fun$'_1 | X = fmb_'A_update_e_a_prod_update_fun$'_2 | X = fmb_'A_update_e_a_prod_update_fun$'_3 | X = fmb_'A_update_e_a_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_update_e_a_prod_update_fun$'_1 != fmb_'A_update_e_a_prod_update_fun$'_2 & fmb_'A_update_e_a_prod_update_fun$'_1 != fmb_'A_update_e_a_prod_update_fun$'_3 & fmb_'A_update_e_a_prod_update_fun$'_1 != fmb_'A_update_e_a_prod_update_fun$'_4 & fmb_'A_update_e_a_prod_update_fun$'_2 != fmb_'A_update_e_a_prod_update_fun$'_3 & fmb_'A_update_e_a_prod_update_fun$'_2 != fmb_'A_update_e_a_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_update_e_a_prod_update_fun$'_3 != fmb_'A_update_e_a_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_d_update_fun$',type,'A_update_d_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_d_update_fun$1',type,fmb_'A_update_d_update_fun$'_1:'A_update_d_update_fun$').
% 48.73/7.41 tff('declare_A_update_d_update_fun$2',type,fmb_'A_update_d_update_fun$'_2:'A_update_d_update_fun$').
% 48.73/7.41 tff('declare_A_update_d_update_fun$3',type,fmb_'A_update_d_update_fun$'_3:'A_update_d_update_fun$').
% 48.73/7.41 tff('declare_A_update_d_update_fun$4',type,fmb_'A_update_d_update_fun$'_4:'A_update_d_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_d_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_update_d_update_fun$'_1 | X = fmb_'A_update_d_update_fun$'_2 | X = fmb_'A_update_d_update_fun$'_3 | X = fmb_'A_update_d_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_update_d_update_fun$'_1 != fmb_'A_update_d_update_fun$'_2 & fmb_'A_update_d_update_fun$'_1 != fmb_'A_update_d_update_fun$'_3 & fmb_'A_update_d_update_fun$'_1 != fmb_'A_update_d_update_fun$'_4 & fmb_'A_update_d_update_fun$'_2 != fmb_'A_update_d_update_fun$'_3 & fmb_'A_update_d_update_fun$'_2 != fmb_'A_update_d_update_fun$'_4 &
% 48.73/7.41 fmb_'A_update_d_update_fun$'_3 != fmb_'A_update_d_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_D_d_prod_update$',type,'D_d_prod_update$':$tType).
% 48.73/7.41 tff('declare_D_d_prod_update$1',type,fmb_'D_d_prod_update$'_1:'D_d_prod_update$').
% 48.73/7.41 tff('declare_D_d_prod_update$2',type,fmb_'D_d_prod_update$'_2:'D_d_prod_update$').
% 48.73/7.41 tff('declare_D_d_prod_update$3',type,fmb_'D_d_prod_update$'_3:'D_d_prod_update$').
% 48.73/7.41 tff('declare_D_d_prod_update$4',type,fmb_'D_d_prod_update$'_4:'D_d_prod_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'D_d_prod_update$'] : (
% 48.73/7.41 X = fmb_'D_d_prod_update$'_1 | X = fmb_'D_d_prod_update$'_2 | X = fmb_'D_d_prod_update$'_3 | X = fmb_'D_d_prod_update$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'D_d_prod_update$'_1 != fmb_'D_d_prod_update$'_2 & fmb_'D_d_prod_update$'_1 != fmb_'D_d_prod_update$'_3 & fmb_'D_d_prod_update$'_1 != fmb_'D_d_prod_update$'_4 & fmb_'D_d_prod_update$'_2 != fmb_'D_d_prod_update$'_3 & fmb_'D_d_prod_update$'_2 != fmb_'D_d_prod_update$'_4 &
% 48.73/7.41 fmb_'D_d_prod_update$'_3 != fmb_'D_d_prod_update$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$',type,'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$1',type,'uminus$a':'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$2',type,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2:'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$3',type,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3:'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$4',type,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4:'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'] : (
% 48.73/7.41 X = 'uminus$a' | X = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 'uminus$a' != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2 & 'uminus$a' != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3 & 'uminus$a' != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4 & fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2 != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3 & fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2 != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3 != fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_a_prod_update$',type,'E_a_prod_update$':$tType).
% 48.73/7.41 tff('declare_E_a_prod_update$1',type,fmb_'E_a_prod_update$'_1:'E_a_prod_update$').
% 48.73/7.41 tff('declare_E_a_prod_update$2',type,fmb_'E_a_prod_update$'_2:'E_a_prod_update$').
% 48.73/7.41 tff('declare_E_a_prod_update$3',type,fmb_'E_a_prod_update$'_3:'E_a_prod_update$').
% 48.73/7.41 tff('declare_E_a_prod_update$4',type,fmb_'E_a_prod_update$'_4:'E_a_prod_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_a_prod_update$'] : (
% 48.73/7.41 X = fmb_'E_a_prod_update$'_1 | X = fmb_'E_a_prod_update$'_2 | X = fmb_'E_a_prod_update$'_3 | X = fmb_'E_a_prod_update$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_a_prod_update$'_1 != fmb_'E_a_prod_update$'_2 & fmb_'E_a_prod_update$'_1 != fmb_'E_a_prod_update$'_3 & fmb_'E_a_prod_update$'_1 != fmb_'E_a_prod_update$'_4 & fmb_'E_a_prod_update$'_2 != fmb_'E_a_prod_update$'_3 & fmb_'E_a_prod_update$'_2 != fmb_'E_a_prod_update$'_4 &
% 48.73/7.41 fmb_'E_a_prod_update$'_3 != fmb_'E_a_prod_update$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_F_a_prod_update$',type,'F_a_prod_update$':$tType).
% 48.73/7.41 tff('declare_F_a_prod_update$1',type,fmb_'F_a_prod_update$'_1:'F_a_prod_update$').
% 48.73/7.41 tff('declare_F_a_prod_update$2',type,fmb_'F_a_prod_update$'_2:'F_a_prod_update$').
% 48.73/7.41 tff('declare_F_a_prod_update$3',type,fmb_'F_a_prod_update$'_3:'F_a_prod_update$').
% 48.73/7.41 tff('declare_F_a_prod_update$4',type,fmb_'F_a_prod_update$'_4:'F_a_prod_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'F_a_prod_update$'] : (
% 48.73/7.41 X = fmb_'F_a_prod_update$'_1 | X = fmb_'F_a_prod_update$'_2 | X = fmb_'F_a_prod_update$'_3 | X = fmb_'F_a_prod_update$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'F_a_prod_update$'_1 != fmb_'F_a_prod_update$'_2 & fmb_'F_a_prod_update$'_1 != fmb_'F_a_prod_update$'_3 & fmb_'F_a_prod_update$'_1 != fmb_'F_a_prod_update$'_4 & fmb_'F_a_prod_update$'_2 != fmb_'F_a_prod_update$'_3 & fmb_'F_a_prod_update$'_2 != fmb_'F_a_prod_update$'_4 &
% 48.73/7.41 fmb_'F_a_prod_update$'_3 != fmb_'F_a_prod_update$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_C_update_set$',type,'C_update_set$':$tType).
% 48.73/7.41 tff('declare_C_update_set$1',type,'top$b':'C_update_set$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'C_update_set$'] : (
% 48.73/7.41 X = 'top$b'
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$',type,'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$1',type,fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1:'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$2',type,fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2:'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$3',type,fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3:'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('declare_E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$4',type,fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4:'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1 | X = fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2 | X = fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3 | X = fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2 & fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1 != fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4 & fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3 & fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2 != fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3 != fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_F_f_prod_update_set$',type,'F_f_prod_update_set$':$tType).
% 48.73/7.41 tff('declare_F_f_prod_update_set$1',type,fmb_'F_f_prod_update_set$'_1:'F_f_prod_update_set$').
% 48.73/7.41 tff('declare_F_f_prod_update_set$2',type,fmb_'F_f_prod_update_set$'_2:'F_f_prod_update_set$').
% 48.73/7.41 tff('declare_F_f_prod_update_set$3',type,fmb_'F_f_prod_update_set$'_3:'F_f_prod_update_set$').
% 48.73/7.41 tff('declare_F_f_prod_update_set$4',type,fmb_'F_f_prod_update_set$'_4:'F_f_prod_update_set$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'F_f_prod_update_set$'] : (
% 48.73/7.41 X = fmb_'F_f_prod_update_set$'_1 | X = fmb_'F_f_prod_update_set$'_2 | X = fmb_'F_f_prod_update_set$'_3 | X = fmb_'F_f_prod_update_set$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'F_f_prod_update_set$'_1 != fmb_'F_f_prod_update_set$'_2 & fmb_'F_f_prod_update_set$'_1 != fmb_'F_f_prod_update_set$'_3 & fmb_'F_f_prod_update_set$'_1 != fmb_'F_f_prod_update_set$'_4 & fmb_'F_f_prod_update_set$'_2 != fmb_'F_f_prod_update_set$'_3 & fmb_'F_f_prod_update_set$'_2 != fmb_'F_f_prod_update_set$'_4 &
% 48.73/7.41 fmb_'F_f_prod_update_set$'_3 != fmb_'F_f_prod_update_set$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_A_update_a_e_prod_update_fun$',type,'A_update_a_e_prod_update_fun$':$tType).
% 48.73/7.41 tff('declare_A_update_a_e_prod_update_fun$1',type,fmb_'A_update_a_e_prod_update_fun$'_1:'A_update_a_e_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_a_e_prod_update_fun$2',type,fmb_'A_update_a_e_prod_update_fun$'_2:'A_update_a_e_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_a_e_prod_update_fun$3',type,fmb_'A_update_a_e_prod_update_fun$'_3:'A_update_a_e_prod_update_fun$').
% 48.73/7.41 tff('declare_A_update_a_e_prod_update_fun$4',type,fmb_'A_update_a_e_prod_update_fun$'_4:'A_update_a_e_prod_update_fun$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'A_update_a_e_prod_update_fun$'] : (
% 48.73/7.41 X = fmb_'A_update_a_e_prod_update_fun$'_1 | X = fmb_'A_update_a_e_prod_update_fun$'_2 | X = fmb_'A_update_a_e_prod_update_fun$'_3 | X = fmb_'A_update_a_e_prod_update_fun$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'A_update_a_e_prod_update_fun$'_1 != fmb_'A_update_a_e_prod_update_fun$'_2 & fmb_'A_update_a_e_prod_update_fun$'_1 != fmb_'A_update_a_e_prod_update_fun$'_3 & fmb_'A_update_a_e_prod_update_fun$'_1 != fmb_'A_update_a_e_prod_update_fun$'_4 & fmb_'A_update_a_e_prod_update_fun$'_2 != fmb_'A_update_a_e_prod_update_fun$'_3 & fmb_'A_update_a_e_prod_update_fun$'_2 != fmb_'A_update_a_e_prod_update_fun$'_4 &
% 48.73/7.41 fmb_'A_update_a_e_prod_update_fun$'_3 != fmb_'A_update_a_e_prod_update_fun$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_E_f_prod_update$',type,'E_f_prod_update$':$tType).
% 48.73/7.41 tff('declare_E_f_prod_update$1',type,fmb_'E_f_prod_update$'_1:'E_f_prod_update$').
% 48.73/7.41 tff('declare_E_f_prod_update$2',type,fmb_'E_f_prod_update$'_2:'E_f_prod_update$').
% 48.73/7.41 tff('declare_E_f_prod_update$3',type,fmb_'E_f_prod_update$'_3:'E_f_prod_update$').
% 48.73/7.41 tff('declare_E_f_prod_update$4',type,fmb_'E_f_prod_update$'_4:'E_f_prod_update$').
% 48.73/7.41 tff(finite_domain,axiom,
% 48.73/7.41 ! [X:'E_f_prod_update$'] : (
% 48.73/7.41 X = fmb_'E_f_prod_update$'_1 | X = fmb_'E_f_prod_update$'_2 | X = fmb_'E_f_prod_update$'_3 | X = fmb_'E_f_prod_update$'_4
% 48.73/7.41 ) ).
% 48.73/7.41
% 48.73/7.41 tff(distinct_domain,axiom,
% 48.73/7.41 fmb_'E_f_prod_update$'_1 != fmb_'E_f_prod_update$'_2 & fmb_'E_f_prod_update$'_1 != fmb_'E_f_prod_update$'_3 & fmb_'E_f_prod_update$'_1 != fmb_'E_f_prod_update$'_4 & fmb_'E_f_prod_update$'_2 != fmb_'E_f_prod_update$'_3 & fmb_'E_f_prod_update$'_2 != fmb_'E_f_prod_update$'_4 &
% 48.73/7.41 fmb_'E_f_prod_update$'_3 != fmb_'E_f_prod_update$'_4
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_top$g',type,'top$g':'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('top$g_definition',axiom,'top$g' = 'uud$').
% 48.73/7.41 tff('declare_uu$',type,'uu$':'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('uu$_definition',axiom,'uu$' = 'uud$').
% 48.73/7.41 tff('declare_top$p',type,'top$p':'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('top$p_definition',axiom,'top$p' = 'uua$').
% 48.73/7.41 tff('declare_uzt$',type,'uzt$':'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('uzt$_definition',axiom,'uzt$' = 'uminus$a').
% 48.73/7.41 tff('declare_uue$',type,'uue$':'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('uue$_definition',axiom,'uue$' = 'top$n').
% 48.73/7.41 tff('declare_bot$a',type,'bot$a':'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('bot$a_definition',axiom,'bot$a' = 'uzx$').
% 48.73/7.41 tff('declare_uvv$',type,'uvv$':'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('uvv$_definition',axiom,'uvv$' = 'uua$').
% 48.73/7.41 tff('declare_uuf$',type,'uuf$':'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('uuf$_definition',axiom,'uuf$' = 'uvt$').
% 48.73/7.41 tff('declare_uvw$',type,'uvw$':'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('uvw$_definition',axiom,'uvw$' = 'uud$').
% 48.73/7.41 tff('declare_image$s',type,'image$s': 'E_update_b_c_prod_update_fun$' * 'E_update_set$' > 'B_c_prod_update_set$').
% 48.73/7.41 tff('function_image$s',axiom,
% 48.73/7.41 'image$s'(fmb_'E_update_b_c_prod_update_fun$'_1,'top$a') = 'top$i'
% 48.73/7.41 % 'image$s'(fmb_'E_update_b_c_prod_update_fun$'_2,'top$a') undefined in model
% 48.73/7.41 % 'image$s'(fmb_'E_update_b_c_prod_update_fun$'_3,'top$a') undefined in model
% 48.73/7.41 % 'image$s'(fmb_'E_update_b_c_prod_update_fun$'_4,'top$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwb$',type,'uwb$': 'A_update_a_update_fun$' > 'A_update_e_a_prod_update_fun$').
% 48.73/7.41 tff('function_uwb$',axiom,
% 48.73/7.41 'uwb$'(fmb_'A_update_a_update_fun$'_1) = fmb_'A_update_e_a_prod_update_fun$'_1
% 48.73/7.41 & 'uwb$'(fmb_'A_update_a_update_fun$'_2) = fmb_'A_update_e_a_prod_update_fun$'_1
% 48.73/7.41 & 'uwb$'(fmb_'A_update_a_update_fun$'_3) = fmb_'A_update_e_a_prod_update_fun$'_1
% 48.73/7.41 & 'uwb$'(fmb_'A_update_a_update_fun$'_4) = fmb_'A_update_e_a_prod_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$o',type,'image$o': 'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$').
% 48.73/7.41 tff('function_image$o',axiom,
% 48.73/7.41 'image$o'('uxg$','bot$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2
% 48.73/7.41 & 'image$o'('uxg$','top$e') = 'top$o'
% 48.73/7.41 & 'image$o'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'bot$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2
% 48.73/7.41 & 'image$o'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'top$e') = 'top$o'
% 48.73/7.41 & 'image$o'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'bot$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2
% 48.73/7.41 & 'image$o'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'top$e') = 'top$o'
% 48.73/7.41 & 'image$o'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'bot$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2
% 48.73/7.41 & 'image$o'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'top$e') = 'top$o'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uus$',type,'uus$': 'A_b_c_prod_prod_update$' > 'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uus$',axiom,
% 48.73/7.41 'uus$'('id_update$a') = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyo$',type,'uyo$': 'E_update_e_update_fun$' * 'E_update_set$' * 'E_update_bool_fun$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uyo$',axiom,
% 48.73/7.41 'uyo$'(fmb_'E_update_e_update_fun$'_1,'top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_1,'top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_1,'top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_1,'top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_2,'top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_2,'top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_2,'top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_2,'top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_3,'top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_3,'top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_3,'top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_3,'top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_4,'top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_4,'top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_4,'top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyo$'(fmb_'E_update_e_update_fun$'_4,'top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$i',type,'comp_update$i': 'E_f_g_prod_prod_update$' > 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.41 tff('function_comp_update$i',axiom,
% 48.73/7.41 'comp_update$i'('id_update$') = 'uya$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ae',type,'fun_app$ae': 'A_update_b_e_prod_update_fun$' * 'A_update$' > 'B_e_prod_update$').
% 48.73/7.41 tff('function_fun_app$ae',axiom,
% 48.73/7.41 'fun_app$ae'(fmb_'A_update_b_e_prod_update_fun$'_1,'id_update$h') = fmb_'B_e_prod_update$'_1
% 48.73/7.41 & 'fun_app$ae'(fmb_'A_update_b_e_prod_update_fun$'_2,'id_update$h') = fmb_'B_e_prod_update$'_1
% 48.73/7.41 & 'fun_app$ae'(fmb_'A_update_b_e_prod_update_fun$'_3,'id_update$h') = fmb_'B_e_prod_update$'_3
% 48.73/7.41 & 'fun_app$ae'(fmb_'A_update_b_e_prod_update_fun$'_4,'id_update$h') = fmb_'B_e_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_pair$m',type,'register_pair$m': 'A_b_c_prod_prod_update_d_update_fun$' * 'A_b_c_prod_prod_update_d_update_fun$' > 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$').
% 48.73/7.41 tff('function_register_pair$m',axiom,
% 48.73/7.41 'register_pair$m'('g$','g$') = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2
% 48.73/7.41 & 'register_pair$m'('g$','f$') = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1
% 48.73/7.41 % 'register_pair$m'('g$','g$') undefined in model
% 48.73/7.41 % 'register_pair$m'('g$',fmb_'A_b_c_prod_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.41 & 'register_pair$m'('f$','g$') = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1
% 48.73/7.41 & 'register_pair$m'('f$','f$') = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1
% 48.73/7.41 % 'register_pair$m'('f$','g$') undefined in model
% 48.73/7.41 % 'register_pair$m'('f$',fmb_'A_b_c_prod_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_pair$m'('g$','g$') undefined in model
% 48.73/7.41 % 'register_pair$m'('g$','f$') undefined in model
% 48.73/7.41 % 'register_pair$m'('g$','g$') undefined in model
% 48.73/7.41 % 'register_pair$m'('g$',fmb_'A_b_c_prod_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_pair$m'(fmb_'A_b_c_prod_prod_update_d_update_fun$'_4,'g$') undefined in model
% 48.73/7.41 % 'register_pair$m'(fmb_'A_b_c_prod_prod_update_d_update_fun$'_4,'f$') undefined in model
% 48.73/7.41 % 'register_pair$m'(fmb_'A_b_c_prod_prod_update_d_update_fun$'_4,'g$') undefined in model
% 48.73/7.41 % 'register_pair$m'(fmb_'A_b_c_prod_prod_update_d_update_fun$'_4,fmb_'A_b_c_prod_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwp$',type,'uwp$': 'A_update_a_update_fun$' > 'A_update_a_d_prod_update_fun$').
% 48.73/7.41 tff('function_uwp$',axiom,
% 48.73/7.41 'uwp$'(fmb_'A_update_a_update_fun$'_1) = fmb_'A_update_a_d_prod_update_fun$'_2
% 48.73/7.41 & 'uwp$'(fmb_'A_update_a_update_fun$'_2) = fmb_'A_update_a_d_prod_update_fun$'_2
% 48.73/7.41 & 'uwp$'(fmb_'A_update_a_update_fun$'_3) = fmb_'A_update_a_d_prod_update_fun$'_2
% 48.73/7.41 & 'uwp$'(fmb_'A_update_a_update_fun$'_4) = fmb_'A_update_a_d_prod_update_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ah',type,'fun_app$ah': 'A_update_b_c_prod_update_fun$' * 'A_update$' > 'B_c_prod_update$').
% 48.73/7.41 tff('function_fun_app$ah',axiom,
% 48.73/7.41 'fun_app$ah'(fmb_'A_update_b_c_prod_update_fun$'_1,'id_update$h') = 'id_update$f'
% 48.73/7.41 & 'fun_app$ah'(fmb_'A_update_b_c_prod_update_fun$'_2,'id_update$h') = 'id_update$f'
% 48.73/7.41 & 'fun_app$ah'(fmb_'A_update_b_c_prod_update_fun$'_3,'id_update$h') = 'id_update$f'
% 48.73/7.41 & 'fun_app$ah'(fmb_'A_update_b_c_prod_update_fun$'_4,'id_update$h') = 'id_update$f'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$z',type,'tensor_update$z': 'F_update$' * 'A_update$' > 'F_a_prod_update$').
% 48.73/7.41 tff('function_tensor_update$z',axiom,
% 48.73/7.41 'tensor_update$z'('id_update$i','id_update$h') = fmb_'F_a_prod_update$'_1
% 48.73/7.41 & 'tensor_update$z'(fmb_'F_update$'_2,'id_update$h') = fmb_'F_a_prod_update$'_3
% 48.73/7.41 & 'tensor_update$z'(fmb_'F_update$'_3,'id_update$h') = fmb_'F_a_prod_update$'_1
% 48.73/7.41 & 'tensor_update$z'(fmb_'F_update$'_4,'id_update$h') = fmb_'F_a_prod_update$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzf$',type,'uzf$': 'Bool_bool_fun$' * 'E_f_g_prod_prod_update_set_bool_fun$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_uzf$',axiom,
% 48.73/7.41 'uzf$'(fmb_'Bool_bool_fun$'_1,'top$u') = 'top$u'
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_1,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = 'top$u'
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_1,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = 'top$u'
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_1,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = 'top$u'
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_2,'top$u') = 'top$u'
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_3,'top$u') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = 'top$u'
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_4,'top$u') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzf$'(fmb_'Bool_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzu$',type,'uzu$': 'E_f_g_prod_prod_update_set_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzu$',axiom,
% 48.73/7.41 'uzu$'('top$f') = 'uud$'
% 48.73/7.41 & 'uzu$'(fmb_'E_f_g_prod_prod_update_set_set$'_2) = 'uzx$'
% 48.73/7.41 & 'uzu$'(fmb_'E_f_g_prod_prod_update_set_set$'_3) = 'uud$'
% 48.73/7.41 & 'uzu$'(fmb_'E_f_g_prod_prod_update_set_set$'_4) = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxe$',type,'uxe$': 'A_update_a_update_fun$' > 'A_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uxe$',axiom,
% 48.73/7.41 'uxe$'(fmb_'A_update_a_update_fun$'_1) = 'uxl$'
% 48.73/7.41 & 'uxe$'(fmb_'A_update_a_update_fun$'_2) = 'uxl$'
% 48.73/7.41 & 'uxe$'(fmb_'A_update_a_update_fun$'_3) = 'uxl$'
% 48.73/7.41 & 'uxe$'(fmb_'A_update_a_update_fun$'_4) = 'uxl$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uul$',type,'uul$': 'E_f_g_prod_prod_update_set$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uul$',axiom,
% 48.73/7.41 'uul$'('bot$','bot$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uul$'('bot$','top$e') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uul$'('top$e','bot$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uul$'('top$e','top$e') = 'uua$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cq',type,'fun_app$cq': 'D_itself_typerep_fun$' * 'D_itself$' > 'Typerep$').
% 48.73/7.41 tff('function_fun_app$cq',axiom,
% 48.73/7.41 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_1,'type$') = fmb_'Typerep$'_1
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_1,fmb_'D_itself$'_2) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_1,fmb_'D_itself$'_3) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_1,fmb_'D_itself$'_4) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_2,'type$') undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_2,fmb_'D_itself$'_2) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_2,fmb_'D_itself$'_3) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_2,fmb_'D_itself$'_4) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_3,'type$') undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_3,fmb_'D_itself$'_2) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_3,fmb_'D_itself$'_3) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_3,fmb_'D_itself$'_4) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_4,'type$') undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_4,fmb_'D_itself$'_2) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_4,fmb_'D_itself$'_3) undefined in model
% 48.73/7.41 % 'fun_app$cq'(fmb_'D_itself_typerep_fun$'_4,fmb_'D_itself$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzz$',type,'uzz$': 'E_f_g_prod_prod_update_set$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzz$',axiom,
% 48.73/7.41 'uzz$'('bot$','bot$') = 'uzx$'
% 48.73/7.41 & 'uzz$'('bot$','top$e') = 'uzx$'
% 48.73/7.41 & 'uzz$'('top$e','bot$') = 'uzx$'
% 48.73/7.41 & 'uzz$'('top$e','top$e') = 'uud$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$co',type,'fun_app$co': 'B_update_d_update_fun$' * 'B_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$co',axiom,
% 48.73/7.41 'fun_app$co'(fmb_'B_update_d_update_fun$'_1,'id_update$j') = 'id_update$d'
% 48.73/7.41 & 'fun_app$co'(fmb_'B_update_d_update_fun$'_2,'id_update$j') = 'id_update$d'
% 48.73/7.41 & 'fun_app$co'(fmb_'B_update_d_update_fun$'_3,'id_update$j') = 'id_update$d'
% 48.73/7.41 & 'fun_app$co'(fmb_'B_update_d_update_fun$'_4,'id_update$j') = 'id_update$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$c',type,'fun_app$c': 'G_update_f_g_prod_update_fun$' * 'G_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_fun_app$c',axiom,
% 48.73/7.41 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_1,'id_update$b') = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_1,fmb_'G_update$'_2) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_1,fmb_'G_update$'_3) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_1,fmb_'G_update$'_4) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_2,'id_update$b') = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_2,fmb_'G_update$'_2) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_2,fmb_'G_update$'_3) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_2,fmb_'G_update$'_4) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_3,'id_update$b') = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_3,fmb_'G_update$'_2) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_3,fmb_'G_update$'_3) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_3,fmb_'G_update$'_4) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_4,'id_update$b') = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_4,fmb_'G_update$'_2) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_4,fmb_'G_update$'_3) = 'id_update$c'
% 48.73/7.41 & 'fun_app$c'(fmb_'G_update_f_g_prod_update_fun$'_4,fmb_'G_update$'_4) = 'id_update$c'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$aa',type,'image$aa': 'E_update_e_f_g_prod_prod_update_fun$' * 'E_update_set$' > 'E_f_g_prod_prod_update_set$').
% 48.73/7.41 tff('function_image$aa',axiom,
% 48.73/7.41 'image$aa'('uxj$','top$a') = 'top$e'
% 48.73/7.41 & 'image$aa'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_2,'top$a') = 'top$e'
% 48.73/7.41 & 'image$aa'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_3,'top$a') = 'top$e'
% 48.73/7.41 & 'image$aa'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_4,'top$a') = 'top$e'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuy$',type,'uuy$': 'E_update_set$' * 'E_update_bool_fun$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uuy$',axiom,
% 48.73/7.41 'uuy$'('top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uuy$'('top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uuy$'('top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uuy$'('top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bb',type,'fun_app$bb': 'A_update_e_f_prod_update_fun$' * 'A_update$' > 'E_f_prod_update$').
% 48.73/7.41 tff('function_fun_app$bb',axiom,
% 48.73/7.41 'fun_app$bb'(fmb_'A_update_e_f_prod_update_fun$'_1,'id_update$h') = fmb_'E_f_prod_update$'_1
% 48.73/7.41 & 'fun_app$bb'(fmb_'A_update_e_f_prod_update_fun$'_2,'id_update$h') = fmb_'E_f_prod_update$'_2
% 48.73/7.41 & 'fun_app$bb'(fmb_'A_update_e_f_prod_update_fun$'_3,'id_update$h') = fmb_'E_f_prod_update$'_4
% 48.73/7.41 & 'fun_app$bb'(fmb_'A_update_e_f_prod_update_fun$'_4,'id_update$h') = fmb_'E_f_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$a',type,'collect$a': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$').
% 48.73/7.41 tff('function_collect$a',axiom,
% 48.73/7.41 'collect$a'('uua$') = 'top$o'
% 48.73/7.41 & 'collect$a'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2
% 48.73/7.41 & 'collect$a'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) = 'top$o'
% 48.73/7.41 & 'collect$a'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) = 'top$o'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ap',type,'fun_app$ap': 'C_update_c_update_fun$' * 'C_update$' > 'C_update$').
% 48.73/7.41 tff('function_fun_app$ap',axiom,
% 48.73/7.41 'fun_app$ap'(fmb_'C_update_c_update_fun$'_1,'id_update$e') = 'id_update$e'
% 48.73/7.41 & 'fun_app$ap'(fmb_'C_update_c_update_fun$'_2,'id_update$e') = 'id_update$e'
% 48.73/7.41 & 'fun_app$ap'(fmb_'C_update_c_update_fun$'_3,'id_update$e') = 'id_update$e'
% 48.73/7.41 & 'fun_app$ap'(fmb_'C_update_c_update_fun$'_4,'id_update$e') = 'id_update$e'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvm$',type,'uvm$': 'E_f_g_prod_prod_update_set_set$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_uvm$',axiom,
% 48.73/7.41 'uvm$'('top$f') = 'top$u'
% 48.73/7.41 & 'uvm$'(fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'uvm$'(fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uvm$'(fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$l',type,'image$l': 'E_f_g_prod_prod_update_b_c_prod_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'B_c_prod_update_set$').
% 48.73/7.41 tff('function_image$l',axiom,
% 48.73/7.41 'image$l'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1,'bot$') = 'top$i'
% 48.73/7.41 & 'image$l'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1,'top$e') = 'top$i'
% 48.73/7.41 % 'image$l'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'image$l'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'image$l'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'image$l'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'image$l'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'image$l'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$n',type,'tensor_update$n': 'B_update$' * 'D_update$' > 'B_d_prod_update$').
% 48.73/7.41 tff('function_tensor_update$n',axiom,
% 48.73/7.41 'tensor_update$n'('id_update$j','id_update$d') = fmb_'B_d_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bd',type,'fun_app$bd': 'A_update_c_f_prod_update_fun$' * 'A_update$' > 'C_f_prod_update$').
% 48.73/7.41 tff('function_fun_app$bd',axiom,
% 48.73/7.41 'fun_app$bd'(fmb_'A_update_c_f_prod_update_fun$'_1,'id_update$h') = fmb_'C_f_prod_update$'_2
% 48.73/7.41 & 'fun_app$bd'(fmb_'A_update_c_f_prod_update_fun$'_2,'id_update$h') = fmb_'C_f_prod_update$'_2
% 48.73/7.41 & 'fun_app$bd'(fmb_'A_update_c_f_prod_update_fun$'_3,'id_update$h') = fmb_'C_f_prod_update$'_3
% 48.73/7.41 & 'fun_app$bd'(fmb_'A_update_c_f_prod_update_fun$'_4,'id_update$h') = fmb_'C_f_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$m',type,'tensor_update$m': 'B_update$' * 'E_update$' > 'B_e_prod_update$').
% 48.73/7.41 tff('function_tensor_update$m',axiom,
% 48.73/7.41 'tensor_update$m'('id_update$j','id_update$g') = fmb_'B_e_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$t',type,'image$t': 'C_update_b_c_prod_update_fun$' * 'C_update_set$' > 'B_c_prod_update_set$').
% 48.73/7.41 tff('function_image$t',axiom,
% 48.73/7.41 'image$t'(fmb_'C_update_b_c_prod_update_fun$'_1,'top$b') = 'top$i'
% 48.73/7.41 & 'image$t'(fmb_'C_update_b_c_prod_update_fun$'_2,'top$b') = 'top$i'
% 48.73/7.41 & 'image$t'(fmb_'C_update_b_c_prod_update_fun$'_3,'top$b') = 'top$i'
% 48.73/7.41 & 'image$t'(fmb_'C_update_b_c_prod_update_fun$'_4,'top$b') = 'top$i'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$c',type,'image$c': 'E_update_c_update_fun$' * 'E_update_set$' > 'C_update_set$').
% 48.73/7.41 tff('function_image$c',axiom,
% 48.73/7.41 'image$c'(fmb_'E_update_c_update_fun$'_1,'top$a') = 'top$b'
% 48.73/7.41 % 'image$c'(fmb_'E_update_c_update_fun$'_2,'top$a') undefined in model
% 48.73/7.41 % 'image$c'(fmb_'E_update_c_update_fun$'_3,'top$a') undefined in model
% 48.73/7.41 % 'image$c'(fmb_'E_update_c_update_fun$'_4,'top$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ck',type,'fun_app$ck': 'E_f_g_prod_prod_update_d_update_fun$' * 'E_f_g_prod_prod_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$ck',axiom,
% 48.73/7.41 'fun_app$ck'(fmb_'E_f_g_prod_prod_update_d_update_fun$'_1,'id_update$') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ck'(fmb_'E_f_g_prod_prod_update_d_update_fun$'_2,'id_update$') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ck'(fmb_'E_f_g_prod_prod_update_d_update_fun$'_3,'id_update$') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ck'(fmb_'E_f_g_prod_prod_update_d_update_fun$'_4,'id_update$') = 'id_update$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwj$',type,'uwj$': 'A_update_d_update_fun$' > 'A_update_d_e_prod_update_fun$').
% 48.73/7.41 tff('function_uwj$',axiom,
% 48.73/7.41 'uwj$'(fmb_'A_update_d_update_fun$'_1) = fmb_'A_update_d_e_prod_update_fun$'_1
% 48.73/7.41 & 'uwj$'(fmb_'A_update_d_update_fun$'_2) = fmb_'A_update_d_e_prod_update_fun$'_1
% 48.73/7.41 & 'uwj$'(fmb_'A_update_d_update_fun$'_3) = fmb_'A_update_d_e_prod_update_fun$'_1
% 48.73/7.41 & 'uwj$'(fmb_'A_update_d_update_fun$'_4) = fmb_'A_update_d_e_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$dy',type,'fun_app$dy': 'E_f_g_prod_prod_update_e_update_fun$' * 'E_f_g_prod_prod_update$' > 'E_update$').
% 48.73/7.41 tff('function_fun_app$dy',axiom,
% 48.73/7.41 'fun_app$dy'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_1,'id_update$') = 'id_update$g'
% 48.73/7.41 % 'fun_app$dy'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_2,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$dy'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_3,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$dy'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_4,'id_update$') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$d',type,'comp_update$d': 'A_update$' > 'A_update_a_update_fun$').
% 48.73/7.41 tff('function_comp_update$d',axiom,
% 48.73/7.41 'comp_update$d'('id_update$h') = fmb_'A_update_a_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$',type,'tensor_update$': 'E_f_g_prod_prod_update$' > 'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.41 tff('function_tensor_update$',axiom,
% 48.73/7.41 'tensor_update$'('id_update$') = 'uxg$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzl$',type,'uzl$': 'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'E_f_g_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzl$',axiom,
% 48.73/7.41 'uzl$'('uxg$','uud$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uzl$'('uxg$',fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uzl$'('uxg$','uzx$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'uud$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'uzx$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'uud$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'uzx$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'uud$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = 'uua$'
% 48.73/7.41 & 'uzl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'uzx$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cp',type,'fun_app$cp': 'D_typerep_fun$' * 'D$' > 'Typerep$').
% 48.73/7.41 tff('function_fun_app$cp',axiom,
% 48.73/7.41 'fun_app$cp'(fmb_'D_typerep_fun$'_1,fmb_'D$'_1) = fmb_'Typerep$'_1
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_1,fmb_'D$'_2) undefined in model
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_1,fmb_'D$'_3) undefined in model
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_1,fmb_'D$'_4) undefined in model
% 48.73/7.41 & 'fun_app$cp'(fmb_'D_typerep_fun$'_2,fmb_'D$'_1) = fmb_'Typerep$'_1
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_2,fmb_'D$'_2) undefined in model
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_2,fmb_'D$'_3) undefined in model
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_2,fmb_'D$'_4) undefined in model
% 48.73/7.41 & 'fun_app$cp'(fmb_'D_typerep_fun$'_3,fmb_'D$'_1) = fmb_'Typerep$'_1
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_3,fmb_'D$'_2) undefined in model
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_3,fmb_'D$'_3) undefined in model
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_3,fmb_'D$'_4) undefined in model
% 48.73/7.41 & 'fun_app$cp'(fmb_'D_typerep_fun$'_4,fmb_'D$'_1) = fmb_'Typerep$'_2
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_4,fmb_'D$'_2) undefined in model
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_4,fmb_'D$'_3) undefined in model
% 48.73/7.41 % 'fun_app$cp'(fmb_'D_typerep_fun$'_4,fmb_'D$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$m',type,'image$m': 'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'A_b_c_prod_prod_update_set$').
% 48.73/7.41 tff('function_image$m',axiom,
% 48.73/7.41 'image$m'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1,'bot$') = 'top$k'
% 48.73/7.41 & 'image$m'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1,'top$e') = 'top$k'
% 48.73/7.41 % 'image$m'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'image$m'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'image$m'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'image$m'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'image$m'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'image$m'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$az',type,'fun_app$az': 'B_c_prod_update_c_update_fun$' * 'B_c_prod_update$' > 'C_update$').
% 48.73/7.41 tff('function_fun_app$az',axiom,
% 48.73/7.41 'fun_app$az'(fmb_'B_c_prod_update_c_update_fun$'_1,'id_update$f') = 'id_update$e'
% 48.73/7.41 % 'fun_app$az'(fmb_'B_c_prod_update_c_update_fun$'_2,'id_update$f') undefined in model
% 48.73/7.41 % 'fun_app$az'(fmb_'B_c_prod_update_c_update_fun$'_3,'id_update$f') undefined in model
% 48.73/7.41 % 'fun_app$az'(fmb_'B_c_prod_update_c_update_fun$'_4,'id_update$f') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$e',type,'collect$e': 'A_b_c_prod_prod_update_bool_fun$' > 'A_b_c_prod_prod_update_set$').
% 48.73/7.41 tff('function_collect$e',axiom,
% 48.73/7.41 'collect$e'('top$l') = 'top$k'
% 48.73/7.41 & 'collect$e'('uvt$') = 'top$k'
% 48.73/7.41 & 'collect$e'(fmb_'A_b_c_prod_prod_update_bool_fun$'_3) = 'top$k'
% 48.73/7.41 & 'collect$e'(fmb_'A_b_c_prod_prod_update_bool_fun$'_4) = 'top$k'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxw$',type,'uxw$': 'E_f_g_prod_prod_update_b_c_prod_update_fun$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uxw$',axiom,
% 48.73/7.41 'uxw$'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1) = 'uug$'
% 48.73/7.41 % 'uxw$'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uxw$'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uxw$'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$br',type,'fun_app$br': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$br',axiom,
% 48.73/7.41 'fun_app$br'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41 % 'fun_app$br'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1) undefined in model
% 48.73/7.41 % 'fun_app$br'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1) undefined in model
% 48.73/7.41 % 'fun_app$br'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$l',type,'collect$l': 'E_update_bool_fun$' > 'E_update_set$').
% 48.73/7.41 tff('function_collect$l',axiom,
% 48.73/7.41 'collect$l'('top$q') = 'top$a'
% 48.73/7.41 & 'collect$l'(fmb_'E_update_bool_fun$'_2) = 'top$a'
% 48.73/7.41 & 'collect$l'(fmb_'E_update_bool_fun$'_3) = 'top$a'
% 48.73/7.41 & 'collect$l'(fmb_'E_update_bool_fun$'_4) = 'top$a'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$',type,'image$': 'E_f_g_prod_prod_update_set_bool_fun$' * 'E_f_g_prod_prod_update_set_set$' > 'Bool_set$').
% 48.73/7.41 tff('function_image$',axiom,
% 48.73/7.41 'image$'('top$u','top$f') = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$'('top$u',fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$'('top$u',fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$'('top$u',fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'top$f') = fmb_'Bool_set$'_3
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'top$f') = fmb_'Bool_set$'_3
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'top$f') = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuk$',type,'uuk$': 'A_update_set$' * 'B_c_prod_update_set$' > 'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uuk$',axiom,
% 48.73/7.41 'uuk$'('top$d','top$i') = 'top$l'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$an',type,'fun_app$an': 'E_update_e_update_fun$' * 'E_update$' > 'E_update$').
% 48.73/7.41 tff('function_fun_app$an',axiom,
% 48.73/7.41 'fun_app$an'(fmb_'E_update_e_update_fun$'_1,'id_update$g') = 'id_update$g'
% 48.73/7.41 & 'fun_app$an'(fmb_'E_update_e_update_fun$'_2,'id_update$g') = 'id_update$g'
% 48.73/7.41 & 'fun_app$an'(fmb_'E_update_e_update_fun$'_3,'id_update$g') = 'id_update$g'
% 48.73/7.41 & 'fun_app$an'(fmb_'E_update_e_update_fun$'_4,'id_update$g') = 'id_update$g'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cg',type,'fun_app$cg': 'C_update_e_update_fun$' * 'C_update$' > 'E_update$').
% 48.73/7.41 tff('function_fun_app$cg',axiom,
% 48.73/7.41 'fun_app$cg'(fmb_'C_update_e_update_fun$'_1,'id_update$e') = 'id_update$g'
% 48.73/7.41 % 'fun_app$cg'(fmb_'C_update_e_update_fun$'_2,'id_update$e') undefined in model
% 48.73/7.41 % 'fun_app$cg'(fmb_'C_update_e_update_fun$'_3,'id_update$e') undefined in model
% 48.73/7.41 % 'fun_app$cg'(fmb_'C_update_e_update_fun$'_4,'id_update$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$e',type,'tensor_update$e': 'B_update$' > 'C_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('function_tensor_update$e',axiom,
% 48.73/7.41 'tensor_update$e'('id_update$j') = fmb_'C_update_b_c_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzo$',type,'uzo$': 'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'F_g_prod_update_bool_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzo$',axiom,
% 48.73/7.41 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'top$n') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'uvu$') = 'uua$'
% 48.73/7.41 & 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'F_g_prod_update_bool_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'F_g_prod_update_bool_fun$'_4) = 'uua$'
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'top$n') undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'uvu$') undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'F_g_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'F_g_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'top$n') undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'uvu$') undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'F_g_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'F_g_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'top$n') undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'uvu$') undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'F_g_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzo$'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'F_g_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzw$',type,'uzw$': tlbool > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzw$',axiom,
% 48.73/7.41 'uzw$'(tltrue) = 'uud$'
% 48.73/7.41 & 'uzw$'(tlfalse) = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$d',type,'fun_app$d': 'E_update_e_f_g_prod_prod_update_fun$' * 'E_update$' > 'E_f_g_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$d',axiom,
% 48.73/7.41 'fun_app$d'('uxj$','id_update$g') = 'id_update$'
% 48.73/7.41 & 'fun_app$d'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_2,'id_update$g') = 'id_update$'
% 48.73/7.41 & 'fun_app$d'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_3,'id_update$g') = 'id_update$'
% 48.73/7.41 & 'fun_app$d'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_4,'id_update$g') = 'id_update$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$ad',type,'image$ad': 'E_f_g_prod_prod_update_bool_fun_bool_fun$' * 'E_f_g_prod_prod_update_bool_fun_set$' > 'Bool_set$').
% 48.73/7.41 tff('function_image$ad',axiom,
% 48.73/7.41 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1,'top$v') = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2,'top$v') = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3,'top$v') = fmb_'Bool_set$'_3
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4,'top$v') = fmb_'Bool_set$'_3
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$ad'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'Bool_set$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwn$',type,'uwn$': 'A_update_e_update_fun$' > 'A_update_e_d_prod_update_fun$').
% 48.73/7.41 tff('function_uwn$',axiom,
% 48.73/7.41 'uwn$'(fmb_'A_update_e_update_fun$'_1) = fmb_'A_update_e_d_prod_update_fun$'_1
% 48.73/7.41 % 'uwn$'(fmb_'A_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwn$'(fmb_'A_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwn$'(fmb_'A_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff(declare_def_1,type,def_1: 'E_f_g_prod_prod_update_set_bool_fun$' * 'E_f_g_prod_prod_update_set$' > tlbool).
% 48.73/7.41 tff(function_def_1,axiom,
% 48.73/7.41 def_1('top$u','bot$') = tltrue
% 48.73/7.41 & def_1('top$u','top$e') = tltrue
% 48.73/7.41 & def_1(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'bot$') = tlfalse
% 48.73/7.41 & def_1(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'top$e') = tltrue
% 48.73/7.41 & def_1(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'bot$') = tltrue
% 48.73/7.41 & def_1(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'top$e') = tlfalse
% 48.73/7.41 & def_1(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'bot$') = tlfalse
% 48.73/7.41 & def_1(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'top$e') = tlfalse
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvd$',type,'uvd$': 'B_c_prod_update_set$' * 'B_c_prod_update_bool_fun$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uvd$',axiom,
% 48.73/7.41 'uvd$'('top$i','uug$') = 'uug$'
% 48.73/7.41 & 'uvd$'('top$i','top$j') = 'top$j'
% 48.73/7.41 & 'uvd$'('top$i','uvs$') = 'uvs$'
% 48.73/7.41 & 'uvd$'('top$i',fmb_'B_c_prod_update_bool_fun$'_4) = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$b',type,'image$b': 'E_update_e_update_fun$' * 'E_update_set$' > 'E_update_set$').
% 48.73/7.41 tff('function_image$b',axiom,
% 48.73/7.41 'image$b'(fmb_'E_update_e_update_fun$'_1,'top$a') = 'top$a'
% 48.73/7.41 & 'image$b'(fmb_'E_update_e_update_fun$'_2,'top$a') = 'top$a'
% 48.73/7.41 & 'image$b'(fmb_'E_update_e_update_fun$'_3,'top$a') = 'top$a'
% 48.73/7.41 & 'image$b'(fmb_'E_update_e_update_fun$'_4,'top$a') = 'top$a'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwh$',type,'uwh$': 'A_update_f_update_fun$' > 'A_update_f_e_prod_update_fun$').
% 48.73/7.41 tff('function_uwh$',axiom,
% 48.73/7.41 'uwh$'(fmb_'A_update_f_update_fun$'_1) = fmb_'A_update_f_e_prod_update_fun$'_1
% 48.73/7.41 % 'uwh$'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwh$'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwh$'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$y',type,'fun_app$y': 'A_update_e_f_g_prod_prod_update_fun$' * 'A_update$' > 'E_f_g_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$y',axiom,
% 48.73/7.41 'fun_app$y'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_1,'id_update$h') = 'id_update$'
% 48.73/7.41 & 'fun_app$y'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_2,'id_update$h') = 'id_update$'
% 48.73/7.41 & 'fun_app$y'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_3,'id_update$h') = 'id_update$'
% 48.73/7.41 & 'fun_app$y'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_4,'id_update$h') = 'id_update$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$b',type,'member$b': 'E_f_g_prod_prod_update$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_member$b',axiom,
% 48.73/7.41 'member$b'('id_update$') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_pair$d',type,'register_pair$d': 'A_update_a_b_c_prod_prod_update_fun$' * 'B_c_prod_update_a_b_c_prod_prod_update_fun$' > 'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_register_pair$d',axiom,
% 48.73/7.41 'register_pair$d'('uxl$',fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$d'('uxl$',fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$d'('uxl$',fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$d'('uxl$',fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$d'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$j',type,'comp_update$j': 'A_b_c_prod_prod_update$' * 'A_b_c_prod_prod_update$' > 'A_b_c_prod_prod_update$').
% 48.73/7.41 tff('function_comp_update$j',axiom,
% 48.73/7.41 'comp_update$j'('id_update$a','id_update$a') = 'id_update$a'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$p',type,'tensor_update$p': 'A_update$' * 'D_update$' > 'A_d_prod_update$').
% 48.73/7.41 tff('function_tensor_update$p',axiom,
% 48.73/7.41 'tensor_update$p'('id_update$h','id_update$d') = fmb_'A_d_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$g',type,'image$g': 'B_update_e_update_fun$' * 'B_update_set$' > 'E_update_set$').
% 48.73/7.41 tff('function_image$g',axiom,
% 48.73/7.41 'image$g'(fmb_'B_update_e_update_fun$'_1,'top$c') = 'top$a'
% 48.73/7.41 % 'image$g'(fmb_'B_update_e_update_fun$'_2,'top$c') undefined in model
% 48.73/7.41 % 'image$g'(fmb_'B_update_e_update_fun$'_3,'top$c') undefined in model
% 48.73/7.41 % 'image$g'(fmb_'B_update_e_update_fun$'_4,'top$c') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$p',type,'comp_update$p': 'D_e_prod_update$' * 'D_e_prod_update$' > 'D_e_prod_update$').
% 48.73/7.41 tff('function_comp_update$p',axiom,
% 48.73/7.41 'comp_update$p'(fmb_'D_e_prod_update$'_1,fmb_'D_e_prod_update$'_1) = fmb_'D_e_prod_update$'_1
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_1,fmb_'D_e_prod_update$'_2) = fmb_'D_e_prod_update$'_4
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_1,fmb_'D_e_prod_update$'_3) = fmb_'D_e_prod_update$'_1
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_1,fmb_'D_e_prod_update$'_4) = fmb_'D_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_2,fmb_'D_e_prod_update$'_1) = fmb_'D_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_2,fmb_'D_e_prod_update$'_2) = fmb_'D_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_2,fmb_'D_e_prod_update$'_3) = fmb_'D_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_2,fmb_'D_e_prod_update$'_4) = fmb_'D_e_prod_update$'_4
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_3,fmb_'D_e_prod_update$'_1) = fmb_'D_e_prod_update$'_3
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_3,fmb_'D_e_prod_update$'_2) = fmb_'D_e_prod_update$'_3
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_3,fmb_'D_e_prod_update$'_3) = fmb_'D_e_prod_update$'_3
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_3,fmb_'D_e_prod_update$'_4) = fmb_'D_e_prod_update$'_3
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_4,fmb_'D_e_prod_update$'_1) = fmb_'D_e_prod_update$'_1
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_4,fmb_'D_e_prod_update$'_2) = fmb_'D_e_prod_update$'_4
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_4,fmb_'D_e_prod_update$'_3) = fmb_'D_e_prod_update$'_4
% 48.73/7.41 & 'comp_update$p'(fmb_'D_e_prod_update$'_4,fmb_'D_e_prod_update$'_4) = fmb_'D_e_prod_update$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_pair$',type,'register_pair$': 'B_update_a_b_c_prod_prod_update_fun$' * 'C_update_a_b_c_prod_prod_update_fun$' > 'B_c_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_register_pair$',axiom,
% 48.73/7.41 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_1,fmb_'C_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_1,fmb_'C_update_a_b_c_prod_prod_update_fun$'_2) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_1,fmb_'C_update_a_b_c_prod_prod_update_fun$'_3) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_1,fmb_'C_update_a_b_c_prod_prod_update_fun$'_4) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_2,fmb_'C_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_2,fmb_'C_update_a_b_c_prod_prod_update_fun$'_2) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_2,fmb_'C_update_a_b_c_prod_prod_update_fun$'_3) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_2,fmb_'C_update_a_b_c_prod_prod_update_fun$'_4) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_3,fmb_'C_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_3,fmb_'C_update_a_b_c_prod_prod_update_fun$'_2) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_3,fmb_'C_update_a_b_c_prod_prod_update_fun$'_3) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_3,fmb_'C_update_a_b_c_prod_prod_update_fun$'_4) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_4,fmb_'C_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_4,fmb_'C_update_a_b_c_prod_prod_update_fun$'_2) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_4,fmb_'C_update_a_b_c_prod_prod_update_fun$'_3) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_4,fmb_'C_update_a_b_c_prod_prod_update_fun$'_4) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyw$',type,'uyw$': 'E_update_c_update_fun$' * 'E_update_set$' * 'C_update_bool_fun$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uyw$',axiom,
% 48.73/7.41 'uyw$'(fmb_'E_update_c_update_fun$'_1,'top$a','top$r') = 'top$q'
% 48.73/7.41 & 'uyw$'(fmb_'E_update_c_update_fun$'_1,'top$a',fmb_'C_update_bool_fun$'_2) = 'top$q'
% 48.73/7.41 & 'uyw$'(fmb_'E_update_c_update_fun$'_1,'top$a',fmb_'C_update_bool_fun$'_3) = 'top$q'
% 48.73/7.41 & 'uyw$'(fmb_'E_update_c_update_fun$'_1,'top$a',fmb_'C_update_bool_fun$'_4) = 'top$q'
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_2,'top$a','top$r') undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_2,'top$a',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_2,'top$a',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_2,'top$a',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_3,'top$a','top$r') undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_3,'top$a',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_3,'top$a',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_3,'top$a',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_4,'top$a','top$r') undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_4,'top$a',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_4,'top$a',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyw$'(fmb_'E_update_c_update_fun$'_4,'top$a',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bc',type,'fun_app$bc': 'A_update_d_f_prod_update_fun$' * 'A_update$' > 'D_f_prod_update$').
% 48.73/7.41 tff('function_fun_app$bc',axiom,
% 48.73/7.41 'fun_app$bc'(fmb_'A_update_d_f_prod_update_fun$'_1,'id_update$h') = fmb_'D_f_prod_update$'_1
% 48.73/7.41 & 'fun_app$bc'(fmb_'A_update_d_f_prod_update_fun$'_2,'id_update$h') = fmb_'D_f_prod_update$'_2
% 48.73/7.41 & 'fun_app$bc'(fmb_'A_update_d_f_prod_update_fun$'_3,'id_update$h') = fmb_'D_f_prod_update$'_2
% 48.73/7.41 & 'fun_app$bc'(fmb_'A_update_d_f_prod_update_fun$'_4,'id_update$h') = fmb_'D_f_prod_update$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$k',type,'image$k': 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$' * 'E_f_g_prod_prod_update_bool_fun_set$' > 'E_f_g_prod_prod_update_set_set$').
% 48.73/7.41 tff('function_image$k',axiom,
% 48.73/7.41 'image$k'('collect$','top$v') = 'top$f'
% 48.73/7.41 & 'image$k'('collect$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_3
% 48.73/7.41 & 'image$k'('collect$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41 & 'image$k'('collect$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,'top$v') = 'top$f'
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_3
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,'top$v') = fmb_'E_f_g_prod_prod_update_set_set$'_3
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_3
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_3
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,'top$v') = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41 & 'image$k'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvf$',type,'uvf$': 'F_g_prod_update_set$' * 'F_g_prod_update_bool_fun$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uvf$',axiom,
% 48.73/7.41 'uvf$'('top$m','top$n') = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uvf$'('top$m','uvu$') = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uvf$'('top$m',fmb_'F_g_prod_update_bool_fun$'_3) = fmb_'F_g_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uvf$'('top$m',fmb_'F_g_prod_update_bool_fun$'_4) = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxu$',type,'uxu$': 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_uxu$',axiom,
% 48.73/7.41 'uxu$'('collect$') = 'top$u'
% 48.73/7.41 & 'uxu$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = 'top$u'
% 48.73/7.41 & 'uxu$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uxu$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ak',type,'fun_app$ak': 'A_update_a_d_prod_update_fun$' * 'A_update$' > 'A_d_prod_update$').
% 48.73/7.41 tff('function_fun_app$ak',axiom,
% 48.73/7.41 'fun_app$ak'(fmb_'A_update_a_d_prod_update_fun$'_1,'id_update$h') = fmb_'A_d_prod_update$'_2
% 48.73/7.41 & 'fun_app$ak'(fmb_'A_update_a_d_prod_update_fun$'_2,'id_update$h') = fmb_'A_d_prod_update$'_2
% 48.73/7.41 & 'fun_app$ak'(fmb_'A_update_a_d_prod_update_fun$'_3,'id_update$h') = fmb_'A_d_prod_update$'_1
% 48.73/7.41 & 'fun_app$ak'(fmb_'A_update_a_d_prod_update_fun$'_4,'id_update$h') = fmb_'A_d_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwa$',type,'uwa$': 'A_update_b_update_fun$' > 'A_update_e_b_prod_update_fun$').
% 48.73/7.41 tff('function_uwa$',axiom,
% 48.73/7.41 'uwa$'(fmb_'A_update_b_update_fun$'_1) = fmb_'A_update_e_b_prod_update_fun$'_2
% 48.73/7.41 % 'uwa$'(fmb_'A_update_b_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwa$'(fmb_'A_update_b_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwa$'(fmb_'A_update_b_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwc$',type,'uwc$': 'A_update_f_update_fun$' > 'A_update_d_f_prod_update_fun$').
% 48.73/7.41 tff('function_uwc$',axiom,
% 48.73/7.41 'uwc$'(fmb_'A_update_f_update_fun$'_1) = fmb_'A_update_d_f_prod_update_fun$'_1
% 48.73/7.41 % 'uwc$'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwc$'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwc$'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$ab',type,'tensor_update$ab': 'E_update$' * 'C_update$' > 'E_c_prod_update$').
% 48.73/7.41 tff('function_tensor_update$ab',axiom,
% 48.73/7.41 'tensor_update$ab'('id_update$g','id_update$e') = fmb_'E_c_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvy$',type,'uvy$': 'A_update_e_update_fun$' > 'A_update_e_e_prod_update_fun$').
% 48.73/7.41 tff('function_uvy$',axiom,
% 48.73/7.41 'uvy$'(fmb_'A_update_e_update_fun$'_1) = fmb_'A_update_e_e_prod_update_fun$'_2
% 48.73/7.41 % 'uvy$'(fmb_'A_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uvy$'(fmb_'A_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uvy$'(fmb_'A_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyq$',type,'uyq$': 'C_update_e_update_fun$' * 'C_update_set$' * 'E_update_bool_fun$' > 'C_update_bool_fun$').
% 48.73/7.41 tff('function_uyq$',axiom,
% 48.73/7.41 'uyq$'(fmb_'C_update_e_update_fun$'_1,'top$b','top$q') = 'top$r'
% 48.73/7.41 & 'uyq$'(fmb_'C_update_e_update_fun$'_1,'top$b',fmb_'E_update_bool_fun$'_2) = 'top$r'
% 48.73/7.41 & 'uyq$'(fmb_'C_update_e_update_fun$'_1,'top$b',fmb_'E_update_bool_fun$'_3) = 'top$r'
% 48.73/7.41 & 'uyq$'(fmb_'C_update_e_update_fun$'_1,'top$b',fmb_'E_update_bool_fun$'_4) = 'top$r'
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_2,'top$b','top$q') undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_2,'top$b',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_2,'top$b',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_2,'top$b',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_3,'top$b','top$q') undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_3,'top$b',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_3,'top$b',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_3,'top$b',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_4,'top$b','top$q') undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_4,'top$b',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_4,'top$b',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyq$'(fmb_'C_update_e_update_fun$'_4,'top$b',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxf$',type,'uxf$': 'B_c_prod_update_b_c_prod_update_fun$' > 'B_c_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uxf$',axiom,
% 48.73/7.41 'uxf$'(fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uxf$'(fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'uxf$'(fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41 & 'uxf$'(fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uva$',type,'uva$': 'B_update_set$' * 'B_update_bool_fun$' > 'B_update_bool_fun$').
% 48.73/7.41 tff('function_uva$',axiom,
% 48.73/7.41 'uva$'('top$c','top$s') = 'top$s'
% 48.73/7.41 & 'uva$'('top$c',fmb_'B_update_bool_fun$'_2) = fmb_'B_update_bool_fun$'_2
% 48.73/7.41 & 'uva$'('top$c',fmb_'B_update_bool_fun$'_3) = fmb_'B_update_bool_fun$'_3
% 48.73/7.41 & 'uva$'('top$c',fmb_'B_update_bool_fun$'_4) = fmb_'B_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyh$',type,'uyh$': 'B_update_f_g_prod_update_fun$' * 'B_update_set$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uyh$',axiom,
% 48.73/7.41 'uyh$'(fmb_'B_update_f_g_prod_update_fun$'_1,'top$c') = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41 % 'uyh$'(fmb_'B_update_f_g_prod_update_fun$'_2,'top$c') undefined in model
% 48.73/7.41 % 'uyh$'(fmb_'B_update_f_g_prod_update_fun$'_3,'top$c') undefined in model
% 48.73/7.41 % 'uyh$'(fmb_'B_update_f_g_prod_update_fun$'_4,'top$c') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uye$',type,'uye$': 'A_update_b_c_prod_update_fun$' * 'A_update_set$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uye$',axiom,
% 48.73/7.41 'uye$'(fmb_'A_update_b_c_prod_update_fun$'_1,'top$d') = 'uvs$'
% 48.73/7.41 & 'uye$'(fmb_'A_update_b_c_prod_update_fun$'_2,'top$d') = 'uvs$'
% 48.73/7.41 & 'uye$'(fmb_'A_update_b_c_prod_update_fun$'_3,'top$d') = 'top$j'
% 48.73/7.41 & 'uye$'(fmb_'A_update_b_c_prod_update_fun$'_4,'top$d') = 'top$j'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzj$',type,'uzj$': 'E_f_g_prod_prod_update_set_bool_fun$' * 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$' > 'E_f_g_prod_prod_update_bool_fun_bool_fun$').
% 48.73/7.41 tff('function_uzj$',axiom,
% 48.73/7.41 'uzj$'('top$u','collect$') = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2
% 48.73/7.41 & 'uzj$'('top$u',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2
% 48.73/7.41 & 'uzj$'('top$u',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2
% 48.73/7.41 & 'uzj$'('top$u',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'collect$') = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'collect$') = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'collect$') = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1
% 48.73/7.41 & 'uzj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$w',type,'image$w': 'E_update_f_g_prod_update_fun$' * 'E_update_set$' > 'F_g_prod_update_set$').
% 48.73/7.41 tff('function_image$w',axiom,
% 48.73/7.41 'image$w'(fmb_'E_update_f_g_prod_update_fun$'_1,'top$a') = 'top$m'
% 48.73/7.41 % 'image$w'(fmb_'E_update_f_g_prod_update_fun$'_2,'top$a') undefined in model
% 48.73/7.41 % 'image$w'(fmb_'E_update_f_g_prod_update_fun$'_3,'top$a') undefined in model
% 48.73/7.41 % 'image$w'(fmb_'E_update_f_g_prod_update_fun$'_4,'top$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$ak',type,'image$ak': 'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'B_c_prod_update_set$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$').
% 48.73/7.41 tff('function_image$ak',axiom,
% 48.73/7.41 'image$ak'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'top$i') = 'top$o'
% 48.73/7.41 % 'image$ak'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'top$i') undefined in model
% 48.73/7.41 % 'image$ak'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'top$i') undefined in model
% 48.73/7.41 % 'image$ak'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'top$i') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyl$',type,'uyl$': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('function_uyl$',axiom,
% 48.73/7.41 'uyl$'('uya$','bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uyl$'('uya$','top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uyl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,'bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uyl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,'top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uyl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,'bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uyl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,'top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uyl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,'bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uyl$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,'top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cr',type,'fun_app$cr': 'A_b_c_prod_prod_update_d_update_fun$' * 'A_b_c_prod_prod_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$cr',axiom,
% 48.73/7.41 'fun_app$cr'('g$','id_update$a') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cr'('f$','id_update$a') = 'id_update$d'
% 48.73/7.41 % 'fun_app$cr'('g$','id_update$a') undefined in model
% 48.73/7.41 % 'fun_app$cr'(fmb_'A_b_c_prod_prod_update_d_update_fun$'_4,'id_update$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$d',type,'collect$d': 'F_g_prod_update_bool_fun$' > 'F_g_prod_update_set$').
% 48.73/7.41 tff('function_collect$d',axiom,
% 48.73/7.41 'collect$d'('top$n') = 'top$m'
% 48.73/7.41 & 'collect$d'('uvu$') = 'top$m'
% 48.73/7.41 & 'collect$d'(fmb_'F_g_prod_update_bool_fun$'_3) = 'top$m'
% 48.73/7.41 & 'collect$d'(fmb_'F_g_prod_update_bool_fun$'_4) = 'top$m'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$af',type,'fun_app$af': 'A_update_b_update_fun$' * 'A_update$' > 'B_update$').
% 48.73/7.41 tff('function_fun_app$af',axiom,
% 48.73/7.41 'fun_app$af'(fmb_'A_update_b_update_fun$'_1,'id_update$h') = 'id_update$j'
% 48.73/7.41 % 'fun_app$af'(fmb_'A_update_b_update_fun$'_2,'id_update$h') undefined in model
% 48.73/7.41 % 'fun_app$af'(fmb_'A_update_b_update_fun$'_3,'id_update$h') undefined in model
% 48.73/7.41 % 'fun_app$af'(fmb_'A_update_b_update_fun$'_4,'id_update$h') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$v',type,'tensor_update$v': 'E_update$' * 'A_update$' > 'E_a_prod_update$').
% 48.73/7.41 tff('function_tensor_update$v',axiom,
% 48.73/7.41 'tensor_update$v'('id_update$g','id_update$h') = fmb_'E_a_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwm$',type,'uwm$': 'A_update_f_update_fun$' > 'A_update_f_d_prod_update_fun$').
% 48.73/7.41 tff('function_uwm$',axiom,
% 48.73/7.41 'uwm$'(fmb_'A_update_f_update_fun$'_1) = fmb_'A_update_f_d_prod_update_fun$'_1
% 48.73/7.41 % 'uwm$'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwm$'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwm$'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$f',type,'comp_update$f': 'F_g_prod_update$' * 'F_g_prod_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_comp_update$f',axiom,
% 48.73/7.41 'comp_update$f'('id_update$c','id_update$c') = 'id_update$c'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$am',type,'fun_app$am': 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_fun_app$am',axiom,
% 48.73/7.41 'fun_app$am'('uxs$','bot$') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'fun_app$am'('uxs$','top$e') = 'top$u'
% 48.73/7.41 % 'fun_app$am'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'fun_app$am'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'fun_app$am'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'fun_app$am'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'fun_app$am'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'fun_app$am'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$e',type,'image$e': 'C_update_e_update_fun$' * 'C_update_set$' > 'E_update_set$').
% 48.73/7.41 tff('function_image$e',axiom,
% 48.73/7.41 'image$e'(fmb_'C_update_e_update_fun$'_1,'top$b') = 'top$a'
% 48.73/7.41 % 'image$e'(fmb_'C_update_e_update_fun$'_2,'top$b') undefined in model
% 48.73/7.41 % 'image$e'(fmb_'C_update_e_update_fun$'_3,'top$b') undefined in model
% 48.73/7.41 % 'image$e'(fmb_'C_update_e_update_fun$'_4,'top$b') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff(declare_def_2,type,def_2: 'E_f_g_prod_prod_update_set_bool_fun$' * 'E_f_g_prod_prod_update_set$' > tlbool).
% 48.73/7.41 tff(function_def_2,axiom,
% 48.73/7.41 def_2('top$u','bot$') = tltrue
% 48.73/7.41 & def_2('top$u','top$e') = tltrue
% 48.73/7.41 & def_2(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'bot$') = tlfalse
% 48.73/7.41 & def_2(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'top$e') = tltrue
% 48.73/7.41 & def_2(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'bot$') = tltrue
% 48.73/7.41 & def_2(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'top$e') = tlfalse
% 48.73/7.41 & def_2(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'bot$') = tlfalse
% 48.73/7.41 & def_2(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'top$e') = tlfalse
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$ai',type,'image$ai': 'E_f_g_prod_prod_update_a_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'A_update_set$').
% 48.73/7.41 tff('function_image$ai',axiom,
% 48.73/7.41 'image$ai'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_1,'bot$') = 'top$d'
% 48.73/7.41 & 'image$ai'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_1,'top$e') = 'top$d'
% 48.73/7.41 % 'image$ai'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'image$ai'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'image$ai'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'image$ai'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'image$ai'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'image$ai'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bl',type,'fun_app$bl': 'E_f_g_prod_prod_update_b_c_prod_update_fun$' * 'E_f_g_prod_prod_update$' > 'B_c_prod_update$').
% 48.73/7.41 tff('function_fun_app$bl',axiom,
% 48.73/7.41 'fun_app$bl'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_1,'id_update$') = 'id_update$f'
% 48.73/7.41 % 'fun_app$bl'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_2,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$bl'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_3,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$bl'(fmb_'E_f_g_prod_prod_update_b_c_prod_update_fun$'_4,'id_update$') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bg',type,'fun_app$bg': 'A_update_e_a_prod_update_fun$' * 'A_update$' > 'E_a_prod_update$').
% 48.73/7.41 tff('function_fun_app$bg',axiom,
% 48.73/7.41 'fun_app$bg'(fmb_'A_update_e_a_prod_update_fun$'_1,'id_update$h') = fmb_'E_a_prod_update$'_1
% 48.73/7.41 & 'fun_app$bg'(fmb_'A_update_e_a_prod_update_fun$'_2,'id_update$h') = fmb_'E_a_prod_update$'_2
% 48.73/7.41 & 'fun_app$bg'(fmb_'A_update_e_a_prod_update_fun$'_3,'id_update$h') = fmb_'E_a_prod_update$'_3
% 48.73/7.41 & 'fun_app$bg'(fmb_'A_update_e_a_prod_update_fun$'_4,'id_update$h') = fmb_'E_a_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uws$',type,'uws$': 'A_b_c_prod_prod_update_bool_fun$' * 'A_b_c_prod_prod_update_bool_fun$' > 'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uws$',axiom,
% 48.73/7.41 'uws$'('top$l','top$l') = 'uvt$'
% 48.73/7.41 & 'uws$'('top$l','uvt$') = 'uvt$'
% 48.73/7.41 & 'uws$'('top$l',fmb_'A_b_c_prod_prod_update_bool_fun$'_3) = 'top$l'
% 48.73/7.41 & 'uws$'('top$l',fmb_'A_b_c_prod_prod_update_bool_fun$'_4) = fmb_'A_b_c_prod_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uws$'('uvt$','top$l') = 'top$l'
% 48.73/7.41 & 'uws$'('uvt$','uvt$') = 'uvt$'
% 48.73/7.41 & 'uws$'('uvt$',fmb_'A_b_c_prod_prod_update_bool_fun$'_3) = fmb_'A_b_c_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uws$'('uvt$',fmb_'A_b_c_prod_prod_update_bool_fun$'_4) = fmb_'A_b_c_prod_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uws$'(fmb_'A_b_c_prod_prod_update_bool_fun$'_3,'top$l') = fmb_'A_b_c_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uws$'(fmb_'A_b_c_prod_prod_update_bool_fun$'_3,'uvt$') = 'uvt$'
% 48.73/7.41 & 'uws$'(fmb_'A_b_c_prod_prod_update_bool_fun$'_3,fmb_'A_b_c_prod_prod_update_bool_fun$'_3) = fmb_'A_b_c_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uws$'(fmb_'A_b_c_prod_prod_update_bool_fun$'_3,fmb_'A_b_c_prod_prod_update_bool_fun$'_4) = fmb_'A_b_c_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uws$'(fmb_'A_b_c_prod_prod_update_bool_fun$'_4,'top$l') = 'top$l'
% 48.73/7.41 & 'uws$'(fmb_'A_b_c_prod_prod_update_bool_fun$'_4,'uvt$') = 'uvt$'
% 48.73/7.41 & 'uws$'(fmb_'A_b_c_prod_prod_update_bool_fun$'_4,fmb_'A_b_c_prod_prod_update_bool_fun$'_3) = fmb_'A_b_c_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uws$'(fmb_'A_b_c_prod_prod_update_bool_fun$'_4,fmb_'A_b_c_prod_prod_update_bool_fun$'_4) = 'uvt$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyb$',type,'uyb$': 'E_update_b_c_prod_update_fun$' * 'E_update_set$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uyb$',axiom,
% 48.73/7.41 'uyb$'(fmb_'E_update_b_c_prod_update_fun$'_1,'top$a') = 'top$j'
% 48.73/7.41 % 'uyb$'(fmb_'E_update_b_c_prod_update_fun$'_2,'top$a') undefined in model
% 48.73/7.41 % 'uyb$'(fmb_'E_update_b_c_prod_update_fun$'_3,'top$a') undefined in model
% 48.73/7.41 % 'uyb$'(fmb_'E_update_b_c_prod_update_fun$'_4,'top$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyx$',type,'uyx$': 'C_update_c_update_fun$' * 'C_update_set$' * 'C_update_bool_fun$' > 'C_update_bool_fun$').
% 48.73/7.41 tff('function_uyx$',axiom,
% 48.73/7.41 'uyx$'(fmb_'C_update_c_update_fun$'_1,'top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_1,'top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_1,'top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_1,'top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_2,'top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_2,'top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_2,'top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_2,'top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_3,'top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_3,'top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_3,'top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_3,'top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_4,'top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_4,'top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_4,'top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyx$'(fmb_'C_update_c_update_fun$'_4,'top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bi',type,'fun_app$bi': 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$' * 'E_f_g_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_fun_app$bi',axiom,
% 48.73/7.41 'fun_app$bi'('uminus$a','uud$') = 'uzx$'
% 48.73/7.41 & 'fun_app$bi'('uminus$a',fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = 'uzx$'
% 48.73/7.41 & 'fun_app$bi'('uminus$a','uzx$') = fmb_'E_f_g_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2,'uud$') = 'uud$'
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = 'uud$'
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2,'uzx$') = 'uzx$'
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3,'uud$') = 'uzx$'
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = 'uzx$'
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3,'uzx$') = 'uzx$'
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4,'uud$') = fmb_'E_f_g_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'fun_app$bi'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4,'uzx$') = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuv$',type,'uuv$': 'G_update$' > 'F_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('function_uuv$',axiom,
% 48.73/7.41 'uuv$'('id_update$b') = 'uxk$'
% 48.73/7.41 & 'uuv$'(fmb_'G_update$'_2) = 'uxk$'
% 48.73/7.41 & 'uuv$'(fmb_'G_update$'_3) = 'uxk$'
% 48.73/7.41 & 'uuv$'(fmb_'G_update$'_4) = 'uxk$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$u',type,'tensor_update$u': 'D_update$' * 'B_update$' > 'D_b_prod_update$').
% 48.73/7.41 tff('function_tensor_update$u',axiom,
% 48.73/7.41 'tensor_update$u'('id_update$d','id_update$j') = fmb_'D_b_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$i',type,'tensor_update$i': 'F_update$' * 'C_update$' > 'F_c_prod_update$').
% 48.73/7.41 tff('function_tensor_update$i',axiom,
% 48.73/7.41 'tensor_update$i'('id_update$i','id_update$e') = fmb_'F_c_prod_update$'_1
% 48.73/7.41 & 'tensor_update$i'(fmb_'F_update$'_2,'id_update$e') = fmb_'F_c_prod_update$'_2
% 48.73/7.41 & 'tensor_update$i'(fmb_'F_update$'_3,'id_update$e') = fmb_'F_c_prod_update$'_4
% 48.73/7.41 & 'tensor_update$i'(fmb_'F_update$'_4,'id_update$e') = fmb_'F_c_prod_update$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$m',type,'comp_update$m': 'E_c_prod_update$' * 'E_c_prod_update$' > 'E_c_prod_update$').
% 48.73/7.41 tff('function_comp_update$m',axiom,
% 48.73/7.41 'comp_update$m'(fmb_'E_c_prod_update$'_1,fmb_'E_c_prod_update$'_1) = fmb_'E_c_prod_update$'_1
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_1,fmb_'E_c_prod_update$'_2) = fmb_'E_c_prod_update$'_2
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_1,fmb_'E_c_prod_update$'_3) = fmb_'E_c_prod_update$'_2
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_1,fmb_'E_c_prod_update$'_4) = fmb_'E_c_prod_update$'_1
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_2,fmb_'E_c_prod_update$'_1) = fmb_'E_c_prod_update$'_1
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_2,fmb_'E_c_prod_update$'_2) = fmb_'E_c_prod_update$'_2
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_2,fmb_'E_c_prod_update$'_3) = fmb_'E_c_prod_update$'_3
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_2,fmb_'E_c_prod_update$'_4) = fmb_'E_c_prod_update$'_2
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_3,fmb_'E_c_prod_update$'_1) = fmb_'E_c_prod_update$'_4
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_3,fmb_'E_c_prod_update$'_2) = fmb_'E_c_prod_update$'_3
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_3,fmb_'E_c_prod_update$'_3) = fmb_'E_c_prod_update$'_1
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_3,fmb_'E_c_prod_update$'_4) = fmb_'E_c_prod_update$'_4
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_4,fmb_'E_c_prod_update$'_1) = fmb_'E_c_prod_update$'_4
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_4,fmb_'E_c_prod_update$'_2) = fmb_'E_c_prod_update$'_3
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_4,fmb_'E_c_prod_update$'_3) = fmb_'E_c_prod_update$'_3
% 48.73/7.41 & 'comp_update$m'(fmb_'E_c_prod_update$'_4,fmb_'E_c_prod_update$'_4) = fmb_'E_c_prod_update$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzh$',type,'uzh$': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$' * 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$' > 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uzh$',axiom,
% 48.73/7.41 'uzh$'('uya$','uya$') = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'('uya$',fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'('uya$',fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'('uya$',fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,'uya$') = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,'uya$') = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,'uya$') = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'uzh$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$q',type,'tensor_update$q': 'E_update$' * 'F_update$' > 'E_f_prod_update$').
% 48.73/7.41 tff('function_tensor_update$q',axiom,
% 48.73/7.41 'tensor_update$q'('id_update$g','id_update$i') = fmb_'E_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$q'('id_update$g',fmb_'F_update$'_2) = fmb_'E_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$q'('id_update$g',fmb_'F_update$'_3) = fmb_'E_f_prod_update$'_2
% 48.73/7.41 & 'tensor_update$q'('id_update$g',fmb_'F_update$'_4) = fmb_'E_f_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxn$',type,'uxn$': 'E_update$' > 'E_update_e_update_fun$').
% 48.73/7.41 tff('function_uxn$',axiom,
% 48.73/7.41 'uxn$'('id_update$g') = fmb_'E_update_e_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$ab',type,'image$ab': 'Bool_bool_fun$' * 'Bool_set$' > 'Bool_set$').
% 48.73/7.41 tff('function_image$ab',axiom,
% 48.73/7.41 'image$ab'(fmb_'Bool_bool_fun$'_1,fmb_'Bool_set$'_1) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_1,fmb_'Bool_set$'_2) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_1,fmb_'Bool_set$'_3) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_1,fmb_'Bool_set$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_2,fmb_'Bool_set$'_1) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_2,fmb_'Bool_set$'_2) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_2,fmb_'Bool_set$'_3) = fmb_'Bool_set$'_3
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_2,fmb_'Bool_set$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_3,fmb_'Bool_set$'_1) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_3,fmb_'Bool_set$'_2) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_3,fmb_'Bool_set$'_3) = fmb_'Bool_set$'_3
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_3,fmb_'Bool_set$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_4,fmb_'Bool_set$'_1) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_4,fmb_'Bool_set$'_2) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_4,fmb_'Bool_set$'_3) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'image$ab'(fmb_'Bool_bool_fun$'_4,fmb_'Bool_set$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ay',type,'fun_app$ay': 'B_c_prod_update_g_update_fun$' * 'B_c_prod_update$' > 'G_update$').
% 48.73/7.41 tff('function_fun_app$ay',axiom,
% 48.73/7.41 'fun_app$ay'(fmb_'B_c_prod_update_g_update_fun$'_1,'id_update$f') = 'id_update$b'
% 48.73/7.41 % 'fun_app$ay'(fmb_'B_c_prod_update_g_update_fun$'_2,'id_update$f') undefined in model
% 48.73/7.41 % 'fun_app$ay'(fmb_'B_c_prod_update_g_update_fun$'_3,'id_update$f') undefined in model
% 48.73/7.41 % 'fun_app$ay'(fmb_'B_c_prod_update_g_update_fun$'_4,'id_update$f') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwz$',type,'uwz$': 'B_c_prod_update_g_update_fun$' > 'B_c_prod_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('function_uwz$',axiom,
% 48.73/7.41 'uwz$'(fmb_'B_c_prod_update_g_update_fun$'_1) = fmb_'B_c_prod_update_f_g_prod_update_fun$'_2
% 48.73/7.41 % 'uwz$'(fmb_'B_c_prod_update_g_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwz$'(fmb_'B_c_prod_update_g_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwz$'(fmb_'B_c_prod_update_g_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$t',type,'fun_app$t': 'A_update_f_g_prod_update_fun$' * 'A_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_fun_app$t',axiom,
% 48.73/7.41 'fun_app$t'(fmb_'A_update_f_g_prod_update_fun$'_1,'id_update$h') = 'id_update$c'
% 48.73/7.41 & 'fun_app$t'(fmb_'A_update_f_g_prod_update_fun$'_2,'id_update$h') = 'id_update$c'
% 48.73/7.41 & 'fun_app$t'(fmb_'A_update_f_g_prod_update_fun$'_3,'id_update$h') = 'id_update$c'
% 48.73/7.41 & 'fun_app$t'(fmb_'A_update_f_g_prod_update_fun$'_4,'id_update$h') = 'id_update$c'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$ac',type,'image$ac': 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$' * 'E_f_g_prod_prod_update_set_set$' > 'E_f_g_prod_prod_update_set_set$').
% 48.73/7.41 tff('function_image$ac',axiom,
% 48.73/7.41 'image$ac'('uminus$','top$f') = 'top$f'
% 48.73/7.41 & 'image$ac'('uminus$',fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_3
% 48.73/7.41 & 'image$ac'('uminus$',fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$ac'('uminus$',fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,'top$f') = 'top$f'
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_3
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,'top$f') = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,'top$f') = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'image$ac'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxb$',type,'uxb$': 'B_c_prod_update_f_g_prod_update_fun$' > 'B_c_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uxb$',axiom,
% 48.73/7.41 'uxb$'(fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) = fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41 & 'uxb$'(fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) = fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41 & 'uxb$'(fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) = fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41 & 'uxb$'(fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) = fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwr$',type,'uwr$': 'B_c_prod_update_bool_fun$' * 'B_c_prod_update_bool_fun$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uwr$',axiom,
% 48.73/7.41 'uwr$'('uug$','uug$') = 'uvs$'
% 48.73/7.41 & 'uwr$'('uug$','top$j') = 'top$j'
% 48.73/7.41 & 'uwr$'('uug$','uvs$') = 'uvs$'
% 48.73/7.41 & 'uwr$'('uug$',fmb_'B_c_prod_update_bool_fun$'_4) = 'top$j'
% 48.73/7.41 & 'uwr$'('top$j','uug$') = 'top$j'
% 48.73/7.41 & 'uwr$'('top$j','top$j') = 'top$j'
% 48.73/7.41 & 'uwr$'('top$j','uvs$') = 'uvs$'
% 48.73/7.41 & 'uwr$'('top$j',fmb_'B_c_prod_update_bool_fun$'_4) = 'top$j'
% 48.73/7.41 & 'uwr$'('uvs$','uug$') = 'uvs$'
% 48.73/7.41 & 'uwr$'('uvs$','top$j') = 'uvs$'
% 48.73/7.41 & 'uwr$'('uvs$','uvs$') = 'top$j'
% 48.73/7.41 & 'uwr$'('uvs$',fmb_'B_c_prod_update_bool_fun$'_4) = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uwr$'(fmb_'B_c_prod_update_bool_fun$'_4,'uug$') = 'uvs$'
% 48.73/7.41 & 'uwr$'(fmb_'B_c_prod_update_bool_fun$'_4,'top$j') = 'top$j'
% 48.73/7.41 & 'uwr$'(fmb_'B_c_prod_update_bool_fun$'_4,'uvs$') = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uwr$'(fmb_'B_c_prod_update_bool_fun$'_4,fmb_'B_c_prod_update_bool_fun$'_4) = 'top$j'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bp',type,'fun_app$bp': 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_set$').
% 48.73/7.41 tff('function_fun_app$bp',axiom,
% 48.73/7.41 'fun_app$bp'('uminus$','bot$') = 'top$e'
% 48.73/7.41 & 'fun_app$bp'('uminus$','top$e') = 'bot$'
% 48.73/7.41 & 'fun_app$bp'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,'bot$') = 'bot$'
% 48.73/7.41 & 'fun_app$bp'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,'top$e') = 'top$e'
% 48.73/7.41 & 'fun_app$bp'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,'bot$') = 'bot$'
% 48.73/7.41 & 'fun_app$bp'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,'top$e') = 'bot$'
% 48.73/7.41 & 'fun_app$bp'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,'bot$') = 'bot$'
% 48.73/7.41 & 'fun_app$bp'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,'top$e') = 'bot$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$',type,'comp_update$': 'E_update$' > 'E_update_e_update_fun$').
% 48.73/7.41 tff('function_comp_update$',axiom,
% 48.73/7.41 'comp_update$'('id_update$g') = fmb_'E_update_e_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$aj',type,'image$aj': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_set_set$').
% 48.73/7.41 tff('function_image$aj',axiom,
% 48.73/7.41 'image$aj'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_1,'bot$') = 'top$f'
% 48.73/7.41 & 'image$aj'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_1,'top$e') = 'top$f'
% 48.73/7.41 % 'image$aj'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'image$aj'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'image$aj'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'image$aj'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'image$aj'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'image$aj'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cf',type,'fun_app$cf': 'E_update_b_update_fun$' * 'E_update$' > 'B_update$').
% 48.73/7.41 tff('function_fun_app$cf',axiom,
% 48.73/7.41 'fun_app$cf'(fmb_'E_update_b_update_fun$'_1,'id_update$g') = 'id_update$j'
% 48.73/7.41 % 'fun_app$cf'(fmb_'E_update_b_update_fun$'_2,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$cf'(fmb_'E_update_b_update_fun$'_3,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$cf'(fmb_'E_update_b_update_fun$'_4,'id_update$g') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_pair$a',type,'register_pair$a': 'A_update_f_g_prod_update_fun$' * 'B_c_prod_update_f_g_prod_update_fun$' > 'A_b_c_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('function_register_pair$a',axiom,
% 48.73/7.41 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_1,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_1,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_1,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_1,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_2,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_2,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_2,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_2,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_3,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_3,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_3,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_3,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_4,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_4,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_4,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$a'(fmb_'A_update_f_g_prod_update_fun$'_4,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$q',type,'collect$q': 'Bool_bool_fun$' > 'Bool_set$').
% 48.73/7.41 tff('function_collect$q',axiom,
% 48.73/7.41 'collect$q'(fmb_'Bool_bool_fun$'_1) = fmb_'Bool_set$'_3
% 48.73/7.41 & 'collect$q'(fmb_'Bool_bool_fun$'_2) = fmb_'Bool_set$'_1
% 48.73/7.41 & 'collect$q'(fmb_'Bool_bool_fun$'_3) = fmb_'Bool_set$'_2
% 48.73/7.41 & 'collect$q'(fmb_'Bool_bool_fun$'_4) = fmb_'Bool_set$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bx',type,'fun_app$bx': 'C_update_f_g_prod_update_fun$' * 'C_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_fun_app$bx',axiom,
% 48.73/7.41 'fun_app$bx'(fmb_'C_update_f_g_prod_update_fun$'_1,'id_update$e') = 'id_update$c'
% 48.73/7.41 % 'fun_app$bx'(fmb_'C_update_f_g_prod_update_fun$'_2,'id_update$e') undefined in model
% 48.73/7.41 % 'fun_app$bx'(fmb_'C_update_f_g_prod_update_fun$'_3,'id_update$e') undefined in model
% 48.73/7.41 % 'fun_app$bx'(fmb_'C_update_f_g_prod_update_fun$'_4,'id_update$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$h',type,'tensor_update$h': 'F_update$' * 'D_update$' > 'F_d_prod_update$').
% 48.73/7.41 tff('function_tensor_update$h',axiom,
% 48.73/7.41 'tensor_update$h'('id_update$i','id_update$d') = fmb_'F_d_prod_update$'_1
% 48.73/7.41 & 'tensor_update$h'(fmb_'F_update$'_2,'id_update$d') = fmb_'F_d_prod_update$'_3
% 48.73/7.41 & 'tensor_update$h'(fmb_'F_update$'_3,'id_update$d') = fmb_'F_d_prod_update$'_2
% 48.73/7.41 & 'tensor_update$h'(fmb_'F_update$'_4,'id_update$d') = fmb_'F_d_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_tensor$v',type,'register_tensor$v': 'A_update_a_update_fun$' * 'B_c_prod_update_b_c_prod_update_fun$' > 'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_register_tensor$v',axiom,
% 48.73/7.41 'register_tensor$v'(fmb_'A_update_a_update_fun$'_1,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_1,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_1,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_1,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_2,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_2,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_2,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_2,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_3,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_3,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_3,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_3,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_4,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_4,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_4,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$v'(fmb_'A_update_a_update_fun$'_4,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$y',type,'tensor_update$y': 'F_update$' * 'B_update$' > 'F_b_prod_update$').
% 48.73/7.41 tff('function_tensor_update$y',axiom,
% 48.73/7.41 'tensor_update$y'('id_update$i','id_update$j') = fmb_'F_b_prod_update$'_1
% 48.73/7.41 & 'tensor_update$y'(fmb_'F_update$'_2,'id_update$j') = fmb_'F_b_prod_update$'_3
% 48.73/7.41 & 'tensor_update$y'(fmb_'F_update$'_3,'id_update$j') = fmb_'F_b_prod_update$'_4
% 48.73/7.41 & 'tensor_update$y'(fmb_'F_update$'_4,'id_update$j') = fmb_'F_b_prod_update$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cs',type,'fun_app$cs': 'F_update_f_update_fun$' * 'F_update$' > 'F_update$').
% 48.73/7.41 tff('function_fun_app$cs',axiom,
% 48.73/7.41 'fun_app$cs'(fmb_'F_update_f_update_fun$'_1,'id_update$i') = fmb_'F_update$'_2
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_1,fmb_'F_update$'_2) = fmb_'F_update$'_4
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_1,fmb_'F_update$'_3) = 'id_update$i'
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_1,fmb_'F_update$'_4) = 'id_update$i'
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_2,'id_update$i') = fmb_'F_update$'_3
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_2,fmb_'F_update$'_2) = fmb_'F_update$'_3
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_2,fmb_'F_update$'_3) = fmb_'F_update$'_4
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_2,fmb_'F_update$'_4) = fmb_'F_update$'_2
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_3,'id_update$i') = fmb_'F_update$'_4
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_3,fmb_'F_update$'_2) = 'id_update$i'
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_3,fmb_'F_update$'_3) = 'id_update$i'
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_3,fmb_'F_update$'_4) = 'id_update$i'
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_4,'id_update$i') = fmb_'F_update$'_3
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_4,fmb_'F_update$'_2) = fmb_'F_update$'_3
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_4,fmb_'F_update$'_3) = 'id_update$i'
% 48.73/7.41 & 'fun_app$cs'(fmb_'F_update_f_update_fun$'_4,fmb_'F_update$'_4) = 'id_update$i'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$c',type,'tensor_update$c': 'E_update$' > 'F_g_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.41 tff('function_tensor_update$c',axiom,
% 48.73/7.41 'tensor_update$c'('id_update$g') = fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$j',type,'tensor_update$j': 'E_update$' * 'E_update$' > 'E_e_prod_update$').
% 48.73/7.41 tff('function_tensor_update$j',axiom,
% 48.73/7.41 'tensor_update$j'('id_update$g','id_update$g') = fmb_'E_e_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzk$',type,'uzk$': 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$' * 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$' > 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff('function_uzk$',axiom,
% 48.73/7.41 'uzk$'('collect$','uminus$a') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41 & 'uzk$'('collect$',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2) = 'collect$'
% 48.73/7.41 & 'uzk$'('collect$',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzk$'('collect$',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4) = 'collect$'
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,'uminus$a') = 'collect$'
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,'uminus$a') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,'uminus$a') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzk$'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bo',type,'fun_app$bo': 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$' * 'E_f_g_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_update_set$').
% 48.73/7.41 tff('function_fun_app$bo',axiom,
% 48.73/7.41 'fun_app$bo'('collect$','uud$') = 'top$e'
% 48.73/7.41 & 'fun_app$bo'('collect$',fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = 'top$e'
% 48.73/7.41 & 'fun_app$bo'('collect$','uzx$') = 'bot$'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,'uud$') = 'bot$'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = 'bot$'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2,'uzx$') = 'top$e'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,'uud$') = 'top$e'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = 'top$e'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3,'uzx$') = 'top$e'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,'uud$') = 'bot$'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = 'bot$'
% 48.73/7.41 & 'fun_app$bo'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4,'uzx$') = 'bot$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bs',type,'fun_app$bs': 'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'F_g_prod_update$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$bs',axiom,
% 48.73/7.41 'fun_app$bs'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'id_update$c') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41 % 'fun_app$bs'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'id_update$c') undefined in model
% 48.73/7.41 % 'fun_app$bs'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'id_update$c') undefined in model
% 48.73/7.41 % 'fun_app$bs'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'id_update$c') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$af',type,'image$af': 'E_f_g_prod_prod_update_e_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'E_update_set$').
% 48.73/7.41 tff('function_image$af',axiom,
% 48.73/7.41 'image$af'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_1,'bot$') = 'top$a'
% 48.73/7.41 & 'image$af'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_1,'top$e') = 'top$a'
% 48.73/7.41 % 'image$af'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'image$af'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'image$af'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'image$af'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'image$af'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'image$af'(fmb_'E_f_g_prod_prod_update_e_update_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$a',type,'image$a': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$' > 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff('function_image$a',axiom,
% 48.73/7.41 'image$a'('uya$') = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41 & 'image$a'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41 & 'image$a'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41 & 'image$a'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uui$',type,'uui$': 'B_update_set$' * 'C_update_set$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uui$',axiom,
% 48.73/7.41 'uui$'('top$c','top$b') = 'uug$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uys$',type,'uys$': 'B_update_e_update_fun$' * 'B_update_set$' * 'E_update_bool_fun$' > 'B_update_bool_fun$').
% 48.73/7.41 tff('function_uys$',axiom,
% 48.73/7.41 'uys$'(fmb_'B_update_e_update_fun$'_1,'top$c','top$q') = 'top$s'
% 48.73/7.41 & 'uys$'(fmb_'B_update_e_update_fun$'_1,'top$c',fmb_'E_update_bool_fun$'_2) = 'top$s'
% 48.73/7.41 & 'uys$'(fmb_'B_update_e_update_fun$'_1,'top$c',fmb_'E_update_bool_fun$'_3) = 'top$s'
% 48.73/7.41 & 'uys$'(fmb_'B_update_e_update_fun$'_1,'top$c',fmb_'E_update_bool_fun$'_4) = 'top$s'
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_2,'top$c','top$q') undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_2,'top$c',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_2,'top$c',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_2,'top$c',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_3,'top$c','top$q') undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_3,'top$c',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_3,'top$c',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_3,'top$c',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_4,'top$c','top$q') undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_4,'top$c',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_4,'top$c',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uys$'(fmb_'B_update_e_update_fun$'_4,'top$c',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyz$',type,'uyz$': 'B_update_c_update_fun$' * 'B_update_set$' * 'C_update_bool_fun$' > 'C_update_bool_fun$').
% 48.73/7.41 tff('function_uyz$',axiom,
% 48.73/7.41 'uyz$'(fmb_'B_update_c_update_fun$'_1,'top$c','top$r') = 'top$r'
% 48.73/7.41 & 'uyz$'(fmb_'B_update_c_update_fun$'_1,'top$c',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyz$'(fmb_'B_update_c_update_fun$'_1,'top$c',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyz$'(fmb_'B_update_c_update_fun$'_1,'top$c',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_2,'top$c','top$r') undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_2,'top$c',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_2,'top$c',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_2,'top$c',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_3,'top$c','top$r') undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_3,'top$c',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_3,'top$c',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_3,'top$c',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_4,'top$c','top$r') undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_4,'top$c',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_4,'top$c',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyz$'(fmb_'B_update_c_update_fun$'_4,'top$c',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$s',type,'fun_app$s': 'B_update_a_update_fun$' * 'B_update$' > 'A_update$').
% 48.73/7.41 tff('function_fun_app$s',axiom,
% 48.73/7.41 'fun_app$s'(fmb_'B_update_a_update_fun$'_1,'id_update$j') = 'id_update$h'
% 48.73/7.41 % 'fun_app$s'(fmb_'B_update_a_update_fun$'_2,'id_update$j') undefined in model
% 48.73/7.41 % 'fun_app$s'(fmb_'B_update_a_update_fun$'_3,'id_update$j') undefined in model
% 48.73/7.41 % 'fun_app$s'(fmb_'B_update_a_update_fun$'_4,'id_update$j') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvr$',type,'uvr$': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uvr$',axiom,
% 48.73/7.41 'uvr$'('top$o') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uvr$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$n',type,'comp_update$n': 'E_b_prod_update$' * 'E_b_prod_update$' > 'E_b_prod_update$').
% 48.73/7.41 tff('function_comp_update$n',axiom,
% 48.73/7.41 'comp_update$n'(fmb_'E_b_prod_update$'_1,fmb_'E_b_prod_update$'_1) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_1,fmb_'E_b_prod_update$'_2) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_1,fmb_'E_b_prod_update$'_3) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_1,fmb_'E_b_prod_update$'_4) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_2,fmb_'E_b_prod_update$'_1) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_2,fmb_'E_b_prod_update$'_2) = fmb_'E_b_prod_update$'_2
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_2,fmb_'E_b_prod_update$'_3) = fmb_'E_b_prod_update$'_2
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_2,fmb_'E_b_prod_update$'_4) = fmb_'E_b_prod_update$'_2
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_3,fmb_'E_b_prod_update$'_1) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_3,fmb_'E_b_prod_update$'_2) = fmb_'E_b_prod_update$'_3
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_3,fmb_'E_b_prod_update$'_3) = fmb_'E_b_prod_update$'_2
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_3,fmb_'E_b_prod_update$'_4) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_4,fmb_'E_b_prod_update$'_1) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_4,fmb_'E_b_prod_update$'_2) = fmb_'E_b_prod_update$'_2
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_4,fmb_'E_b_prod_update$'_3) = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'comp_update$n'(fmb_'E_b_prod_update$'_4,fmb_'E_b_prod_update$'_4) = fmb_'E_b_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$eb',type,'fun_app$eb': 'E_f_g_prod_prod_update_a_update_fun$' * 'E_f_g_prod_prod_update$' > 'A_update$').
% 48.73/7.41 tff('function_fun_app$eb',axiom,
% 48.73/7.41 'fun_app$eb'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_1,'id_update$') = 'id_update$h'
% 48.73/7.41 % 'fun_app$eb'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_2,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$eb'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_3,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$eb'(fmb_'E_f_g_prod_prod_update_a_update_fun$'_4,'id_update$') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwq$',type,'uwq$': 'A_update_f_update_fun$' > 'A_update_f_c_prod_update_fun$').
% 48.73/7.41 tff('function_uwq$',axiom,
% 48.73/7.41 'uwq$'(fmb_'A_update_f_update_fun$'_1) = fmb_'A_update_f_c_prod_update_fun$'_1
% 48.73/7.41 % 'uwq$'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwq$'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwq$'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvn$',type,'uvn$': 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uvn$',axiom,
% 48.73/7.41 'uvn$'('bot$') = 'uzx$'
% 48.73/7.41 & 'uvn$'('top$e') = fmb_'E_f_g_prod_prod_update_bool_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_minus$',type,'minus$': 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff('function_minus$',axiom,
% 48.73/7.41 'minus$'('bot$') = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'minus$'('top$e') = 'uminus$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuo$',type,'uuo$': 'F_update_set$' * 'C_update_set$' > 'F_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uuo$',axiom,
% 48.73/7.41 'uuo$'('top$','top$b') = fmb_'F_c_prod_update_bool_fun$'_1
% 48.73/7.41 % 'uuo$'(fmb_'F_update_set$'_2,'top$b') undefined in model
% 48.73/7.41 % 'uuo$'(fmb_'F_update_set$'_3,'top$b') undefined in model
% 48.73/7.41 % 'uuo$'(fmb_'F_update_set$'_4,'top$b') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$l',type,'comp_update$l': 'E_d_prod_update$' * 'E_d_prod_update$' > 'E_d_prod_update$').
% 48.73/7.41 tff('function_comp_update$l',axiom,
% 48.73/7.41 'comp_update$l'(fmb_'E_d_prod_update$'_1,fmb_'E_d_prod_update$'_1) = fmb_'E_d_prod_update$'_1
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_1,fmb_'E_d_prod_update$'_2) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_1,fmb_'E_d_prod_update$'_3) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_1,fmb_'E_d_prod_update$'_4) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_2,fmb_'E_d_prod_update$'_1) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_2,fmb_'E_d_prod_update$'_2) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_2,fmb_'E_d_prod_update$'_3) = fmb_'E_d_prod_update$'_4
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_2,fmb_'E_d_prod_update$'_4) = fmb_'E_d_prod_update$'_4
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_3,fmb_'E_d_prod_update$'_1) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_3,fmb_'E_d_prod_update$'_2) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_3,fmb_'E_d_prod_update$'_3) = fmb_'E_d_prod_update$'_3
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_3,fmb_'E_d_prod_update$'_4) = fmb_'E_d_prod_update$'_4
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_4,fmb_'E_d_prod_update$'_1) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_4,fmb_'E_d_prod_update$'_2) = fmb_'E_d_prod_update$'_4
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_4,fmb_'E_d_prod_update$'_3) = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'comp_update$l'(fmb_'E_d_prod_update$'_4,fmb_'E_d_prod_update$'_4) = fmb_'E_d_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$a',type,'tensor_update$a': 'A_b_c_prod_prod_update$' > 'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$').
% 48.73/7.41 tff('function_tensor_update$a',axiom,
% 48.73/7.41 'tensor_update$a'('id_update$a') = fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$dz',type,'fun_app$dz': 'E_f_g_prod_prod_update_c_update_fun$' * 'E_f_g_prod_prod_update$' > 'C_update$').
% 48.73/7.41 tff('function_fun_app$dz',axiom,
% 48.73/7.41 'fun_app$dz'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_1,'id_update$') = 'id_update$e'
% 48.73/7.41 % 'fun_app$dz'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_2,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$dz'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_3,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$dz'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_4,'id_update$') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ct',type,'fun_app$ct': 'G_update_g_update_fun$' * 'G_update$' > 'G_update$').
% 48.73/7.41 tff('function_fun_app$ct',axiom,
% 48.73/7.41 'fun_app$ct'(fmb_'G_update_g_update_fun$'_1,'id_update$b') = 'id_update$b'
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_1,fmb_'G_update$'_2) = 'id_update$b'
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_1,fmb_'G_update$'_3) = fmb_'G_update$'_2
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_1,fmb_'G_update$'_4) = fmb_'G_update$'_3
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_2,'id_update$b') = 'id_update$b'
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_2,fmb_'G_update$'_2) = fmb_'G_update$'_3
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_2,fmb_'G_update$'_3) = fmb_'G_update$'_2
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_2,fmb_'G_update$'_4) = fmb_'G_update$'_2
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_3,'id_update$b') = fmb_'G_update$'_3
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_3,fmb_'G_update$'_2) = fmb_'G_update$'_2
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_3,fmb_'G_update$'_3) = fmb_'G_update$'_3
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_3,fmb_'G_update$'_4) = fmb_'G_update$'_3
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_4,'id_update$b') = fmb_'G_update$'_2
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_4,fmb_'G_update$'_2) = fmb_'G_update$'_4
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_4,fmb_'G_update$'_3) = 'id_update$b'
% 48.73/7.41 & 'fun_app$ct'(fmb_'G_update_g_update_fun$'_4,fmb_'G_update$'_4) = fmb_'G_update$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bw',type,'fun_app$bw': 'E_update_b_c_prod_update_fun$' * 'E_update$' > 'B_c_prod_update$').
% 48.73/7.41 tff('function_fun_app$bw',axiom,
% 48.73/7.41 'fun_app$bw'(fmb_'E_update_b_c_prod_update_fun$'_1,'id_update$g') = 'id_update$f'
% 48.73/7.41 % 'fun_app$bw'(fmb_'E_update_b_c_prod_update_fun$'_2,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$bw'(fmb_'E_update_b_c_prod_update_fun$'_3,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$bw'(fmb_'E_update_b_c_prod_update_fun$'_4,'id_update$g') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_sup$a',type,'sup$a': 'E_f_g_prod_prod_update_set_set$' > 'E_f_g_prod_prod_update_set$').
% 48.73/7.41 tff('function_sup$a',axiom,
% 48.73/7.41 'sup$a'('top$f') = 'top$e'
% 48.73/7.41 & 'sup$a'(fmb_'E_f_g_prod_prod_update_set_set$'_2) = 'bot$'
% 48.73/7.41 & 'sup$a'(fmb_'E_f_g_prod_prod_update_set_set$'_3) = 'top$e'
% 48.73/7.41 & 'sup$a'(fmb_'E_f_g_prod_prod_update_set_set$'_4) = 'bot$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ac',type,'fun_app$ac': 'A_update_d_e_prod_update_fun$' * 'A_update$' > 'D_e_prod_update$').
% 48.73/7.41 tff('function_fun_app$ac',axiom,
% 48.73/7.41 'fun_app$ac'(fmb_'A_update_d_e_prod_update_fun$'_1,'id_update$h') = fmb_'D_e_prod_update$'_1
% 48.73/7.41 & 'fun_app$ac'(fmb_'A_update_d_e_prod_update_fun$'_2,'id_update$h') = fmb_'D_e_prod_update$'_2
% 48.73/7.41 & 'fun_app$ac'(fmb_'A_update_d_e_prod_update_fun$'_3,'id_update$h') = fmb_'D_e_prod_update$'_4
% 48.73/7.41 & 'fun_app$ac'(fmb_'A_update_d_e_prod_update_fun$'_4,'id_update$h') = fmb_'D_e_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvk$',type,'uvk$': 'B_update_set$' > 'B_update_bool_fun$').
% 48.73/7.41 tff('function_uvk$',axiom,
% 48.73/7.41 'uvk$'('top$c') = 'top$s'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uza$',type,'uza$': 'B_update_c_update_fun$' * 'B_update_set$' * 'C_update_bool_fun$' > 'B_update_bool_fun$').
% 48.73/7.41 tff('function_uza$',axiom,
% 48.73/7.41 'uza$'(fmb_'B_update_c_update_fun$'_1,'top$c','top$r') = 'top$s'
% 48.73/7.41 & 'uza$'(fmb_'B_update_c_update_fun$'_1,'top$c',fmb_'C_update_bool_fun$'_2) = 'top$s'
% 48.73/7.41 & 'uza$'(fmb_'B_update_c_update_fun$'_1,'top$c',fmb_'C_update_bool_fun$'_3) = 'top$s'
% 48.73/7.41 & 'uza$'(fmb_'B_update_c_update_fun$'_1,'top$c',fmb_'C_update_bool_fun$'_4) = 'top$s'
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_2,'top$c','top$r') undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_2,'top$c',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_2,'top$c',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_2,'top$c',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_3,'top$c','top$r') undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_3,'top$c',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_3,'top$c',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_3,'top$c',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_4,'top$c','top$r') undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_4,'top$c',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_4,'top$c',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uza$'(fmb_'B_update_c_update_fun$'_4,'top$c',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$by',type,'fun_app$by': 'B_update_f_g_prod_update_fun$' * 'B_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_fun_app$by',axiom,
% 48.73/7.41 'fun_app$by'(fmb_'B_update_f_g_prod_update_fun$'_1,'id_update$j') = 'id_update$c'
% 48.73/7.41 % 'fun_app$by'(fmb_'B_update_f_g_prod_update_fun$'_2,'id_update$j') undefined in model
% 48.73/7.41 % 'fun_app$by'(fmb_'B_update_f_g_prod_update_fun$'_3,'id_update$j') undefined in model
% 48.73/7.41 % 'fun_app$by'(fmb_'B_update_f_g_prod_update_fun$'_4,'id_update$j') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$l',type,'tensor_update$l': 'D_update$' * 'E_update$' > 'D_e_prod_update$').
% 48.73/7.41 tff('function_tensor_update$l',axiom,
% 48.73/7.41 'tensor_update$l'('id_update$d','id_update$g') = fmb_'D_e_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$a',type,'comp_update$a': 'D_update$' > 'D_update_d_update_fun$').
% 48.73/7.41 tff('function_comp_update$a',axiom,
% 48.73/7.41 'comp_update$a'('id_update$d') = fmb_'D_update_d_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bh',type,'fun_app$bh': 'A_update_d_a_prod_update_fun$' * 'A_update$' > 'D_a_prod_update$').
% 48.73/7.41 tff('function_fun_app$bh',axiom,
% 48.73/7.41 'fun_app$bh'(fmb_'A_update_d_a_prod_update_fun$'_1,'id_update$h') = fmb_'D_a_prod_update$'_2
% 48.73/7.41 & 'fun_app$bh'(fmb_'A_update_d_a_prod_update_fun$'_2,'id_update$h') = fmb_'D_a_prod_update$'_2
% 48.73/7.41 & 'fun_app$bh'(fmb_'A_update_d_a_prod_update_fun$'_3,'id_update$h') = fmb_'D_a_prod_update$'_2
% 48.73/7.41 & 'fun_app$bh'(fmb_'A_update_d_a_prod_update_fun$'_4,'id_update$h') = fmb_'D_a_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvi$',type,'uvi$': 'E_update_set$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uvi$',axiom,
% 48.73/7.41 'uvi$'('top$a') = 'top$q'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwl$',type,'uwl$': 'A_update_a_update_fun$' > 'A_update_a_e_prod_update_fun$').
% 48.73/7.41 tff('function_uwl$',axiom,
% 48.73/7.41 'uwl$'(fmb_'A_update_a_update_fun$'_1) = fmb_'A_update_a_e_prod_update_fun$'_2
% 48.73/7.41 & 'uwl$'(fmb_'A_update_a_update_fun$'_2) = fmb_'A_update_a_e_prod_update_fun$'_2
% 48.73/7.41 & 'uwl$'(fmb_'A_update_a_update_fun$'_3) = fmb_'A_update_a_e_prod_update_fun$'_4
% 48.73/7.41 & 'uwl$'(fmb_'A_update_a_update_fun$'_4) = fmb_'A_update_a_e_prod_update_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$w',type,'fun_app$w': 'A_update_f_d_prod_update_fun$' * 'A_update$' > 'F_d_prod_update$').
% 48.73/7.41 tff('function_fun_app$w',axiom,
% 48.73/7.41 'fun_app$w'(fmb_'A_update_f_d_prod_update_fun$'_1,'id_update$h') = fmb_'F_d_prod_update$'_1
% 48.73/7.41 & 'fun_app$w'(fmb_'A_update_f_d_prod_update_fun$'_2,'id_update$h') = fmb_'F_d_prod_update$'_4
% 48.73/7.41 & 'fun_app$w'(fmb_'A_update_f_d_prod_update_fun$'_3,'id_update$h') = fmb_'F_d_prod_update$'_1
% 48.73/7.41 & 'fun_app$w'(fmb_'A_update_f_d_prod_update_fun$'_4,'id_update$h') = fmb_'F_d_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$am',type,'image$am': 'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'F_g_prod_update_set$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$').
% 48.73/7.41 tff('function_image$am',axiom,
% 48.73/7.41 'image$am'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'top$m') = 'top$o'
% 48.73/7.41 % 'image$am'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'top$m') undefined in model
% 48.73/7.41 % 'image$am'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'top$m') undefined in model
% 48.73/7.41 % 'image$am'(fmb_'F_g_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'top$m') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvg$',type,'uvg$': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uvg$',axiom,
% 48.73/7.41 'uvg$'('top$o','uua$') = 'uua$'
% 48.73/7.41 & 'uvg$'('top$o',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uvg$'('top$o',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uvg$'('top$o',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uvg$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2,'uua$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uvg$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uvg$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uvg$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cj',type,'fun_app$cj': 'A_update_c_update_fun$' * 'A_update$' > 'C_update$').
% 48.73/7.41 tff('function_fun_app$cj',axiom,
% 48.73/7.41 'fun_app$cj'(fmb_'A_update_c_update_fun$'_1,'id_update$h') = 'id_update$e'
% 48.73/7.41 % 'fun_app$cj'(fmb_'A_update_c_update_fun$'_2,'id_update$h') undefined in model
% 48.73/7.41 % 'fun_app$cj'(fmb_'A_update_c_update_fun$'_3,'id_update$h') undefined in model
% 48.73/7.41 % 'fun_app$cj'(fmb_'A_update_c_update_fun$'_4,'id_update$h') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzi$',type,'uzi$': 'E_f_g_prod_prod_update_set_bool_fun$' * 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_uzi$',axiom,
% 48.73/7.41 'uzi$'('top$u','uminus$') = 'top$u'
% 48.73/7.41 & 'uzi$'('top$u',fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2) = 'top$u'
% 48.73/7.41 & 'uzi$'('top$u',fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3) = 'top$u'
% 48.73/7.41 & 'uzi$'('top$u',fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4) = 'top$u'
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'uminus$') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'uminus$') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3) = 'top$u'
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4) = 'top$u'
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'uminus$') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uzi$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$u',type,'image$u': 'B_update_b_c_prod_update_fun$' * 'B_update_set$' > 'B_c_prod_update_set$').
% 48.73/7.41 tff('function_image$u',axiom,
% 48.73/7.41 'image$u'('uxm$','top$c') = 'top$i'
% 48.73/7.41 & 'image$u'(fmb_'B_update_b_c_prod_update_fun$'_2,'top$c') = 'top$i'
% 48.73/7.41 & 'image$u'(fmb_'B_update_b_c_prod_update_fun$'_3,'top$c') = 'top$i'
% 48.73/7.41 & 'image$u'(fmb_'B_update_b_c_prod_update_fun$'_4,'top$c') = 'top$i'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uut$',type,'uut$': 'D_update$' > 'D_update_d_d_prod_update_fun$').
% 48.73/7.41 tff('function_uut$',axiom,
% 48.73/7.41 'uut$'('id_update$d') = 'uxi$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$o',type,'collect$o': 'A_update_bool_fun$' > 'A_update_set$').
% 48.73/7.41 tff('function_collect$o',axiom,
% 48.73/7.41 'collect$o'('top$t') = 'top$d'
% 48.73/7.41 & 'collect$o'(fmb_'A_update_bool_fun$'_2) = 'top$d'
% 48.73/7.41 & 'collect$o'(fmb_'A_update_bool_fun$'_3) = 'top$d'
% 48.73/7.41 & 'collect$o'(fmb_'A_update_bool_fun$'_4) = 'top$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuu$',type,'uuu$': 'F_g_prod_update$' > 'E_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uuu$',axiom,
% 48.73/7.41 'uuu$'('id_update$c') = 'uxj$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bv',type,'fun_app$bv': 'E_update_f_g_prod_update_fun$' * 'E_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_fun_app$bv',axiom,
% 48.73/7.41 'fun_app$bv'(fmb_'E_update_f_g_prod_update_fun$'_1,'id_update$g') = 'id_update$c'
% 48.73/7.41 % 'fun_app$bv'(fmb_'E_update_f_g_prod_update_fun$'_2,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$bv'(fmb_'E_update_f_g_prod_update_fun$'_3,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$bv'(fmb_'E_update_f_g_prod_update_fun$'_4,'id_update$g') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$f',type,'fun_app$f': 'D_update_d_d_prod_update_fun$' * 'D_update$' > 'D_d_prod_update$').
% 48.73/7.41 tff('function_fun_app$f',axiom,
% 48.73/7.41 'fun_app$f'('uxi$','id_update$d') = fmb_'D_d_prod_update$'_1
% 48.73/7.41 & 'fun_app$f'(fmb_'D_update_d_d_prod_update_fun$'_2,'id_update$d') = fmb_'D_d_prod_update$'_2
% 48.73/7.41 & 'fun_app$f'(fmb_'D_update_d_d_prod_update_fun$'_3,'id_update$d') = fmb_'D_d_prod_update$'_4
% 48.73/7.41 & 'fun_app$f'(fmb_'D_update_d_d_prod_update_fun$'_4,'id_update$d') = fmb_'D_d_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uup$',type,'uup$': 'F_update_set$' * 'B_update_set$' > 'F_b_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uup$',axiom,
% 48.73/7.41 'uup$'('top$','top$c') = fmb_'F_b_prod_update_bool_fun$'_2
% 48.73/7.41 % 'uup$'(fmb_'F_update_set$'_2,'top$c') undefined in model
% 48.73/7.41 % 'uup$'(fmb_'F_update_set$'_3,'top$c') undefined in model
% 48.73/7.41 % 'uup$'(fmb_'F_update_set$'_4,'top$c') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$x',type,'tensor_update$x': 'F_update$' * 'F_update$' > 'F_f_prod_update$').
% 48.73/7.41 tff('function_tensor_update$x',axiom,
% 48.73/7.41 'tensor_update$x'('id_update$i','id_update$i') = fmb_'F_f_prod_update$'_2
% 48.73/7.41 & 'tensor_update$x'('id_update$i',fmb_'F_update$'_2) = fmb_'F_f_prod_update$'_2
% 48.73/7.41 & 'tensor_update$x'('id_update$i',fmb_'F_update$'_3) = fmb_'F_f_prod_update$'_2
% 48.73/7.41 & 'tensor_update$x'('id_update$i',fmb_'F_update$'_4) = fmb_'F_f_prod_update$'_2
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_2,'id_update$i') = fmb_'F_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_2,fmb_'F_update$'_2) = fmb_'F_f_prod_update$'_2
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_2,fmb_'F_update$'_3) = fmb_'F_f_prod_update$'_4
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_2,fmb_'F_update$'_4) = fmb_'F_f_prod_update$'_4
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_3,'id_update$i') = fmb_'F_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_3,fmb_'F_update$'_2) = fmb_'F_f_prod_update$'_4
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_3,fmb_'F_update$'_3) = fmb_'F_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_3,fmb_'F_update$'_4) = fmb_'F_f_prod_update$'_3
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_4,'id_update$i') = fmb_'F_f_prod_update$'_3
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_4,fmb_'F_update$'_2) = fmb_'F_f_prod_update$'_2
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_4,fmb_'F_update$'_3) = fmb_'F_f_prod_update$'_4
% 48.73/7.41 & 'tensor_update$x'(fmb_'F_update$'_4,fmb_'F_update$'_4) = fmb_'F_f_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$r',type,'image$r': 'C_update_a_update_fun$' * 'C_update_set$' > 'A_update_set$').
% 48.73/7.41 tff('function_image$r',axiom,
% 48.73/7.41 'image$r'(fmb_'C_update_a_update_fun$'_1,'top$b') = 'top$d'
% 48.73/7.41 % 'image$r'(fmb_'C_update_a_update_fun$'_2,'top$b') undefined in model
% 48.73/7.41 % 'image$r'(fmb_'C_update_a_update_fun$'_3,'top$b') undefined in model
% 48.73/7.41 % 'image$r'(fmb_'C_update_a_update_fun$'_4,'top$b') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_tensor$i',type,'register_tensor$i': 'A_update_b_update_fun$' * 'B_c_prod_update_c_update_fun$' > 'A_b_c_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('function_register_tensor$i',axiom,
% 48.73/7.41 'register_tensor$i'(fmb_'A_update_b_update_fun$'_1,fmb_'B_c_prod_update_c_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_1,fmb_'B_c_prod_update_c_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_1,fmb_'B_c_prod_update_c_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_1,fmb_'B_c_prod_update_c_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_2,fmb_'B_c_prod_update_c_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_2,fmb_'B_c_prod_update_c_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_2,fmb_'B_c_prod_update_c_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_2,fmb_'B_c_prod_update_c_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_3,fmb_'B_c_prod_update_c_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_3,fmb_'B_c_prod_update_c_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_3,fmb_'B_c_prod_update_c_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_3,fmb_'B_c_prod_update_c_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_4,fmb_'B_c_prod_update_c_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_4,fmb_'B_c_prod_update_c_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_4,fmb_'B_c_prod_update_c_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$i'(fmb_'A_update_b_update_fun$'_4,fmb_'B_c_prod_update_c_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ea',type,'fun_app$ea': 'E_f_g_prod_prod_update_b_update_fun$' * 'E_f_g_prod_prod_update$' > 'B_update$').
% 48.73/7.41 tff('function_fun_app$ea',axiom,
% 48.73/7.41 'fun_app$ea'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_1,'id_update$') = 'id_update$j'
% 48.73/7.41 % 'fun_app$ea'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_2,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$ea'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_3,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$ea'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_4,'id_update$') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uun$',type,'uun$': 'F_update_set$' * 'E_update_set$' > 'F_e_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uun$',axiom,
% 48.73/7.41 'uun$'('top$','top$a') = fmb_'F_e_prod_update_bool_fun$'_1
% 48.73/7.41 % 'uun$'(fmb_'F_update_set$'_2,'top$a') undefined in model
% 48.73/7.41 % 'uun$'(fmb_'F_update_set$'_3,'top$a') undefined in model
% 48.73/7.41 % 'uun$'(fmb_'F_update_set$'_4,'top$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuw$',type,'uuw$': 'B_c_prod_update$' > 'A_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uuw$',axiom,
% 48.73/7.41 'uuw$'('id_update$f') = fmb_'A_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzy$',type,'uzy$': 'E_f_g_prod_prod_update_set$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzy$',axiom,
% 48.73/7.41 'uzy$'('bot$','bot$') = 'uzx$'
% 48.73/7.41 & 'uzy$'('bot$','top$e') = 'uud$'
% 48.73/7.41 & 'uzy$'('top$e','bot$') = fmb_'E_f_g_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uzy$'('top$e','top$e') = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwk$',type,'uwk$': 'A_update_b_update_fun$' > 'A_update_b_e_prod_update_fun$').
% 48.73/7.41 tff('function_uwk$',axiom,
% 48.73/7.41 'uwk$'(fmb_'A_update_b_update_fun$'_1) = fmb_'A_update_b_e_prod_update_fun$'_1
% 48.73/7.41 % 'uwk$'(fmb_'A_update_b_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwk$'(fmb_'A_update_b_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwk$'(fmb_'A_update_b_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwu$',type,'uwu$': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uwu$',axiom,
% 48.73/7.41 'uwu$'('uua$','uua$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwu$'('uua$',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uwu$'('uua$',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwu$'('uua$',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2,'uua$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3,'uua$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4,'uua$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwu$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ce',type,'fun_app$ce': 'E_update_c_update_fun$' * 'E_update$' > 'C_update$').
% 48.73/7.41 tff('function_fun_app$ce',axiom,
% 48.73/7.41 'fun_app$ce'(fmb_'E_update_c_update_fun$'_1,'id_update$g') = 'id_update$e'
% 48.73/7.41 % 'fun_app$ce'(fmb_'E_update_c_update_fun$'_2,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$ce'(fmb_'E_update_c_update_fun$'_3,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$ce'(fmb_'E_update_c_update_fun$'_4,'id_update$g') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzq$',type,'uzq$': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$' > 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('function_uzq$',axiom,
% 48.73/7.41 'uzq$'('uya$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uzq$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uzq$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uzq$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bk',type,'fun_app$bk': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$' * 'E_f_g_prod_prod_update$' > 'E_f_g_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$bk',axiom,
% 48.73/7.41 'fun_app$bk'('uya$','id_update$') = 'id_update$'
% 48.73/7.41 & 'fun_app$bk'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,'id_update$') = 'id_update$'
% 48.73/7.41 & 'fun_app$bk'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,'id_update$') = 'id_update$'
% 48.73/7.41 & 'fun_app$bk'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,'id_update$') = 'id_update$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyg$',type,'uyg$': 'C_update_f_g_prod_update_fun$' * 'C_update_set$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uyg$',axiom,
% 48.73/7.41 'uyg$'(fmb_'C_update_f_g_prod_update_fun$'_1,'top$b') = fmb_'F_g_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uyg$'(fmb_'C_update_f_g_prod_update_fun$'_2,'top$b') = 'top$n'
% 48.73/7.41 & 'uyg$'(fmb_'C_update_f_g_prod_update_fun$'_3,'top$b') = 'top$n'
% 48.73/7.41 & 'uyg$'(fmb_'C_update_f_g_prod_update_fun$'_4,'top$b') = 'top$n'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ci',type,'fun_app$ci': 'B_update_c_update_fun$' * 'B_update$' > 'C_update$').
% 48.73/7.41 tff('function_fun_app$ci',axiom,
% 48.73/7.41 'fun_app$ci'(fmb_'B_update_c_update_fun$'_1,'id_update$j') = 'id_update$e'
% 48.73/7.41 % 'fun_app$ci'(fmb_'B_update_c_update_fun$'_2,'id_update$j') undefined in model
% 48.73/7.41 % 'fun_app$ci'(fmb_'B_update_c_update_fun$'_3,'id_update$j') undefined in model
% 48.73/7.41 % 'fun_app$ci'(fmb_'B_update_c_update_fun$'_4,'id_update$j') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$aw',type,'fun_app$aw': 'B_c_prod_update_f_g_prod_update_fun$' * 'B_c_prod_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_fun_app$aw',axiom,
% 48.73/7.41 'fun_app$aw'(fmb_'B_c_prod_update_f_g_prod_update_fun$'_1,'id_update$f') = 'id_update$c'
% 48.73/7.41 & 'fun_app$aw'(fmb_'B_c_prod_update_f_g_prod_update_fun$'_2,'id_update$f') = 'id_update$c'
% 48.73/7.41 & 'fun_app$aw'(fmb_'B_c_prod_update_f_g_prod_update_fun$'_3,'id_update$f') = 'id_update$c'
% 48.73/7.41 & 'fun_app$aw'(fmb_'B_c_prod_update_f_g_prod_update_fun$'_4,'id_update$f') = 'id_update$c'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$',type,'fun_app$': 'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'E_f_g_prod_prod_update$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$',axiom,
% 48.73/7.41 'fun_app$'('uxg$','id_update$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41 & 'fun_app$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'id_update$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41 & 'fun_app$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'id_update$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41 & 'fun_app$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'id_update$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$y',type,'image$y': 'B_update_f_g_prod_update_fun$' * 'B_update_set$' > 'F_g_prod_update_set$').
% 48.73/7.41 tff('function_image$y',axiom,
% 48.73/7.41 'image$y'(fmb_'B_update_f_g_prod_update_fun$'_1,'top$c') = 'top$m'
% 48.73/7.41 % 'image$y'(fmb_'B_update_f_g_prod_update_fun$'_2,'top$c') undefined in model
% 48.73/7.41 % 'image$y'(fmb_'B_update_f_g_prod_update_fun$'_3,'top$c') undefined in model
% 48.73/7.41 % 'image$y'(fmb_'B_update_f_g_prod_update_fun$'_4,'top$c') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uur$',type,'uur$': 'E_f_g_prod_prod_update$' > 'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uur$',axiom,
% 48.73/7.41 'uur$'('id_update$') = fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$a',type,'fun_app$a': 'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$' * 'A_b_c_prod_prod_update$' > 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$a',axiom,
% 48.73/7.41 'fun_app$a'('uxh$','id_update$a') = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1
% 48.73/7.41 & 'fun_app$a'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2,'id_update$a') = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1
% 48.73/7.41 & 'fun_app$a'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3,'id_update$a') = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1
% 48.73/7.41 & 'fun_app$a'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_4,'id_update$a') = fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvl$',type,'uvl$': 'A_update_set$' > 'A_update_bool_fun$').
% 48.73/7.41 tff('function_uvl$',axiom,
% 48.73/7.41 'uvl$'('top$d') = 'top$t'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwf$',type,'uwf$': 'A_update_a_update_fun$' > 'A_update_d_a_prod_update_fun$').
% 48.73/7.41 tff('function_uwf$',axiom,
% 48.73/7.41 'uwf$'(fmb_'A_update_a_update_fun$'_1) = fmb_'A_update_d_a_prod_update_fun$'_1
% 48.73/7.41 & 'uwf$'(fmb_'A_update_a_update_fun$'_2) = fmb_'A_update_d_a_prod_update_fun$'_2
% 48.73/7.41 & 'uwf$'(fmb_'A_update_a_update_fun$'_3) = fmb_'A_update_d_a_prod_update_fun$'_1
% 48.73/7.41 & 'uwf$'(fmb_'A_update_a_update_fun$'_4) = fmb_'A_update_d_a_prod_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cm',type,'fun_app$cm': 'E_update_d_update_fun$' * 'E_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$cm',axiom,
% 48.73/7.41 'fun_app$cm'(fmb_'E_update_d_update_fun$'_1,'id_update$g') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cm'(fmb_'E_update_d_update_fun$'_2,'id_update$g') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cm'(fmb_'E_update_d_update_fun$'_3,'id_update$g') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cm'(fmb_'E_update_d_update_fun$'_4,'id_update$g') = 'id_update$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_pair$c',type,'register_pair$c': 'A_update_b_c_prod_update_fun$' * 'B_c_prod_update_b_c_prod_update_fun$' > 'A_b_c_prod_prod_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('function_register_pair$c',axiom,
% 48.73/7.41 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_1,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_1,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_1,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_1,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_2,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_2,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_2,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_2,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_3,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_3,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_3,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_3,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_4,fmb_'B_c_prod_update_b_c_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_4,fmb_'B_c_prod_update_b_c_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_4,fmb_'B_c_prod_update_b_c_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$c'(fmb_'A_update_b_c_prod_update_fun$'_4,fmb_'B_c_prod_update_b_c_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_b_c_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$ag',type,'image$ag': 'E_f_g_prod_prod_update_c_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'C_update_set$').
% 48.73/7.41 tff('function_image$ag',axiom,
% 48.73/7.41 'image$ag'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_1,'bot$') = 'top$b'
% 48.73/7.41 & 'image$ag'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_1,'top$e') = 'top$b'
% 48.73/7.41 % 'image$ag'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'image$ag'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'image$ag'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'image$ag'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'image$ag'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'image$ag'(fmb_'E_f_g_prod_prod_update_c_update_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxa$',type,'uxa$': 'A_update_e_update_fun$' > 'A_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uxa$',axiom,
% 48.73/7.41 'uxa$'(fmb_'A_update_e_update_fun$'_1) = fmb_'A_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 % 'uxa$'(fmb_'A_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uxa$'(fmb_'A_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uxa$'(fmb_'A_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyy$',type,'uyy$': 'C_update_c_update_fun$' * 'C_update_set$' * 'C_update_bool_fun$' > 'C_update_bool_fun$').
% 48.73/7.41 tff('function_uyy$',axiom,
% 48.73/7.41 'uyy$'(fmb_'C_update_c_update_fun$'_1,'top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_1,'top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_1,'top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_1,'top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_2,'top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_2,'top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_2,'top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_2,'top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_3,'top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_3,'top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_3,'top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_3,'top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_4,'top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_4,'top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_4,'top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyy$'(fmb_'C_update_c_update_fun$'_4,'top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_sup$b',type,'sup$b': 'E_f_g_prod_prod_update_bool_fun_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_sup$b',axiom,
% 48.73/7.41 'sup$b'('top$v') = 'uud$'
% 48.73/7.41 & 'sup$b'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'sup$b'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = 'uzx$'
% 48.73/7.41 & 'sup$b'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ba',type,'fun_app$ba': 'C_update_a_b_c_prod_prod_update_fun$' * 'C_update$' > 'A_b_c_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$ba',axiom,
% 48.73/7.41 'fun_app$ba'(fmb_'C_update_a_b_c_prod_prod_update_fun$'_1,'id_update$e') = 'id_update$a'
% 48.73/7.41 & 'fun_app$ba'(fmb_'C_update_a_b_c_prod_prod_update_fun$'_2,'id_update$e') = 'id_update$a'
% 48.73/7.41 & 'fun_app$ba'(fmb_'C_update_a_b_c_prod_prod_update_fun$'_3,'id_update$e') = 'id_update$a'
% 48.73/7.41 & 'fun_app$ba'(fmb_'C_update_a_b_c_prod_prod_update_fun$'_4,'id_update$e') = 'id_update$a'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$ae',type,'image$ae': 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$' * 'E_f_g_prod_prod_update_bool_fun_set$' > 'E_f_g_prod_prod_update_bool_fun_set$').
% 48.73/7.41 tff('function_image$ae',axiom,
% 48.73/7.41 'image$ae'('uminus$a','top$v') = 'top$v'
% 48.73/7.41 & 'image$ae'('uminus$a',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4
% 48.73/7.41 & 'image$ae'('uminus$a',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3
% 48.73/7.41 & 'image$ae'('uminus$a',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2,'top$v') = 'top$v'
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3,'top$v') = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4,'top$v') = 'top$v'
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3
% 48.73/7.41 & 'image$ae'(fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_greatest$',type,'greatest$': 'E_f_g_prod_prod_update_set_bool_fun$' > 'E_f_g_prod_prod_update_set$').
% 48.73/7.41 tff('function_greatest$',axiom,
% 48.73/7.41 'greatest$'('top$u') = 'top$e'
% 48.73/7.41 & 'greatest$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = 'top$e'
% 48.73/7.41 & 'greatest$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = 'bot$'
% 48.73/7.41 & 'greatest$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = 'top$e'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$dx',type,'fun_app$dx': 'C_update_a_update_fun$' * 'C_update$' > 'A_update$').
% 48.73/7.41 tff('function_fun_app$dx',axiom,
% 48.73/7.41 'fun_app$dx'(fmb_'C_update_a_update_fun$'_1,'id_update$e') = 'id_update$h'
% 48.73/7.41 % 'fun_app$dx'(fmb_'C_update_a_update_fun$'_2,'id_update$e') undefined in model
% 48.73/7.41 % 'fun_app$dx'(fmb_'C_update_a_update_fun$'_3,'id_update$e') undefined in model
% 48.73/7.41 % 'fun_app$dx'(fmb_'C_update_a_update_fun$'_4,'id_update$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuj$',type,'uuj$': 'E_update_set$' * 'F_g_prod_update_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uuj$',axiom,
% 48.73/7.41 'uuj$'('top$a','top$m') = 'uud$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$k',type,'comp_update$k': 'E_e_prod_update$' * 'E_e_prod_update$' > 'E_e_prod_update$').
% 48.73/7.41 tff('function_comp_update$k',axiom,
% 48.73/7.41 'comp_update$k'(fmb_'E_e_prod_update$'_1,fmb_'E_e_prod_update$'_1) = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_1,fmb_'E_e_prod_update$'_2) = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_1,fmb_'E_e_prod_update$'_3) = fmb_'E_e_prod_update$'_3
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_1,fmb_'E_e_prod_update$'_4) = fmb_'E_e_prod_update$'_4
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_2,fmb_'E_e_prod_update$'_1) = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_2,fmb_'E_e_prod_update$'_2) = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_2,fmb_'E_e_prod_update$'_3) = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_2,fmb_'E_e_prod_update$'_4) = fmb_'E_e_prod_update$'_4
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_3,fmb_'E_e_prod_update$'_1) = fmb_'E_e_prod_update$'_1
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_3,fmb_'E_e_prod_update$'_2) = fmb_'E_e_prod_update$'_1
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_3,fmb_'E_e_prod_update$'_3) = fmb_'E_e_prod_update$'_1
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_3,fmb_'E_e_prod_update$'_4) = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_4,fmb_'E_e_prod_update$'_1) = fmb_'E_e_prod_update$'_4
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_4,fmb_'E_e_prod_update$'_2) = fmb_'E_e_prod_update$'_1
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_4,fmb_'E_e_prod_update$'_3) = fmb_'E_e_prod_update$'_1
% 48.73/7.41 & 'comp_update$k'(fmb_'E_e_prod_update$'_4,fmb_'E_e_prod_update$'_4) = fmb_'E_e_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyp$',type,'uyp$': 'C_update_e_update_fun$' * 'C_update_set$' * 'E_update_bool_fun$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uyp$',axiom,
% 48.73/7.41 'uyp$'(fmb_'C_update_e_update_fun$'_1,'top$b','top$q') = 'top$q'
% 48.73/7.41 & 'uyp$'(fmb_'C_update_e_update_fun$'_1,'top$b',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyp$'(fmb_'C_update_e_update_fun$'_1,'top$b',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyp$'(fmb_'C_update_e_update_fun$'_1,'top$b',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_2,'top$b','top$q') undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_2,'top$b',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_2,'top$b',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_2,'top$b',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_3,'top$b','top$q') undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_3,'top$b',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_3,'top$b',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_3,'top$b',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_4,'top$b','top$q') undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_4,'top$b',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_4,'top$b',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyp$'(fmb_'C_update_e_update_fun$'_4,'top$b',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bu',type,'fun_app$bu': 'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'A_b_c_prod_prod_update$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$bu',axiom,
% 48.73/7.41 'fun_app$bu'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'id_update$a') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41 % 'fun_app$bu'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'id_update$a') undefined in model
% 48.73/7.41 % 'fun_app$bu'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'id_update$a') undefined in model
% 48.73/7.41 % 'fun_app$bu'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'id_update$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ec',type,'fun_app$ec': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$' * 'E_f_g_prod_prod_update$' > 'E_f_g_prod_prod_update_set$').
% 48.73/7.41 tff('function_fun_app$ec',axiom,
% 48.73/7.41 'fun_app$ec'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_1,'id_update$') = 'bot$'
% 48.73/7.41 % 'fun_app$ec'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_2,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$ec'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_3,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$ec'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_set_fun$'_4,'id_update$') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyn$',type,'uyn$': 'E_update_e_update_fun$' * 'E_update_set$' * 'E_update_bool_fun$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uyn$',axiom,
% 48.73/7.41 'uyn$'(fmb_'E_update_e_update_fun$'_1,'top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_1,'top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_1,'top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_1,'top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_2,'top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_2,'top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_2,'top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_2,'top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_3,'top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_3,'top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_3,'top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_3,'top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_4,'top$a','top$q') = 'top$q'
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_4,'top$a',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_4,'top$a',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyn$'(fmb_'E_update_e_update_fun$'_4,'top$a',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$dw',type,'fun_app$dw': 'C_update_b_update_fun$' * 'C_update$' > 'B_update$').
% 48.73/7.41 tff('function_fun_app$dw',axiom,
% 48.73/7.41 'fun_app$dw'(fmb_'C_update_b_update_fun$'_1,'id_update$e') = 'id_update$j'
% 48.73/7.41 % 'fun_app$dw'(fmb_'C_update_b_update_fun$'_2,'id_update$e') undefined in model
% 48.73/7.41 % 'fun_app$dw'(fmb_'C_update_b_update_fun$'_3,'id_update$e') undefined in model
% 48.73/7.41 % 'fun_app$dw'(fmb_'C_update_b_update_fun$'_4,'id_update$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxz$',type,'uxz$': 'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uxz$',axiom,
% 48.73/7.41 'uxz$'('uxg$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uxz$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uxz$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uxz$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$al',type,'image$al': 'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'A_b_c_prod_prod_update_set$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$').
% 48.73/7.41 tff('function_image$al',axiom,
% 48.73/7.41 'image$al'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'top$k') = 'top$o'
% 48.73/7.41 % 'image$al'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'top$k') undefined in model
% 48.73/7.41 % 'image$al'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'top$k') undefined in model
% 48.73/7.41 % 'image$al'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'top$k') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwo$',type,'uwo$': 'A_update_b_update_fun$' > 'A_update_b_d_prod_update_fun$').
% 48.73/7.41 tff('function_uwo$',axiom,
% 48.73/7.41 'uwo$'(fmb_'A_update_b_update_fun$'_1) = fmb_'A_update_b_d_prod_update_fun$'_1
% 48.73/7.41 % 'uwo$'(fmb_'A_update_b_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwo$'(fmb_'A_update_b_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwo$'(fmb_'A_update_b_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$f',type,'collect$f': 'B_c_prod_update_bool_fun$' > 'B_c_prod_update_set$').
% 48.73/7.41 tff('function_collect$f',axiom,
% 48.73/7.41 'collect$f'('uug$') = 'top$i'
% 48.73/7.41 & 'collect$f'('top$j') = 'top$i'
% 48.73/7.41 & 'collect$f'('uvs$') = 'top$i'
% 48.73/7.41 & 'collect$f'(fmb_'B_c_prod_update_bool_fun$'_4) = 'top$i'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$dg',type,'fun_app$dg': 'E_update_a_update_fun$' * 'E_update$' > 'A_update$').
% 48.73/7.41 tff('function_fun_app$dg',axiom,
% 48.73/7.41 'fun_app$dg'(fmb_'E_update_a_update_fun$'_1,'id_update$g') = 'id_update$h'
% 48.73/7.41 % 'fun_app$dg'(fmb_'E_update_a_update_fun$'_2,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$dg'(fmb_'E_update_a_update_fun$'_3,'id_update$g') undefined in model
% 48.73/7.41 % 'fun_app$dg'(fmb_'E_update_a_update_fun$'_4,'id_update$g') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_typerep_of$',type,'typerep_of$': 'D_itself_typerep_fun$' > 'D_typerep_fun$').
% 48.73/7.41 tff('function_typerep_of$',axiom,
% 48.73/7.41 'typerep_of$'(fmb_'D_itself_typerep_fun$'_1) = fmb_'D_typerep_fun$'_1
% 48.73/7.41 % 'typerep_of$'(fmb_'D_itself_typerep_fun$'_2) undefined in model
% 48.73/7.41 % 'typerep_of$'(fmb_'D_itself_typerep_fun$'_3) undefined in model
% 48.73/7.41 % 'typerep_of$'(fmb_'D_itself_typerep_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_pair$b',type,'register_pair$b': 'A_update_e_f_g_prod_prod_update_fun$' * 'B_c_prod_update_e_f_g_prod_prod_update_fun$' > 'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.41 tff('function_register_pair$b',axiom,
% 48.73/7.41 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_1,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_1,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_3
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_1,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_1,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_1
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_2
% 48.73/7.41 & 'register_pair$b'(fmb_'A_update_e_f_g_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvq$',type,'uvq$': 'F_g_prod_update_set$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uvq$',axiom,
% 48.73/7.41 'uvq$'('top$m') = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$h',type,'image$h': 'B_update_c_update_fun$' * 'B_update_set$' > 'C_update_set$').
% 48.73/7.41 tff('function_image$h',axiom,
% 48.73/7.41 'image$h'(fmb_'B_update_c_update_fun$'_1,'top$c') = 'top$b'
% 48.73/7.41 % 'image$h'(fmb_'B_update_c_update_fun$'_2,'top$c') undefined in model
% 48.73/7.41 % 'image$h'(fmb_'B_update_c_update_fun$'_3,'top$c') undefined in model
% 48.73/7.41 % 'image$h'(fmb_'B_update_c_update_fun$'_4,'top$c') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$be',type,'fun_app$be': 'A_update_e_b_prod_update_fun$' * 'A_update$' > 'E_b_prod_update$').
% 48.73/7.41 tff('function_fun_app$be',axiom,
% 48.73/7.41 'fun_app$be'(fmb_'A_update_e_b_prod_update_fun$'_1,'id_update$h') = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'fun_app$be'(fmb_'A_update_e_b_prod_update_fun$'_2,'id_update$h') = fmb_'E_b_prod_update$'_1
% 48.73/7.41 & 'fun_app$be'(fmb_'A_update_e_b_prod_update_fun$'_3,'id_update$h') = fmb_'E_b_prod_update$'_3
% 48.73/7.41 & 'fun_app$be'(fmb_'A_update_e_b_prod_update_fun$'_4,'id_update$h') = fmb_'E_b_prod_update$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$j',type,'fun_app$j': 'B_c_prod_update_a_b_c_prod_prod_update_fun$' * 'B_c_prod_update$' > 'A_b_c_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$j',axiom,
% 48.73/7.41 'fun_app$j'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1,'id_update$f') = 'id_update$a'
% 48.73/7.41 & 'fun_app$j'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2,'id_update$f') = 'id_update$a'
% 48.73/7.41 & 'fun_app$j'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3,'id_update$f') = 'id_update$a'
% 48.73/7.41 & 'fun_app$j'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4,'id_update$f') = 'id_update$a'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzn$',type,'uzn$': 'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'A_b_c_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzn$',axiom,
% 48.73/7.41 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'top$l') = 'uua$'
% 48.73/7.41 & 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'uvt$') = 'uua$'
% 48.73/7.41 & 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'A_b_c_prod_prod_update_bool_fun$'_3) = 'uua$'
% 48.73/7.41 & 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'A_b_c_prod_prod_update_bool_fun$'_4) = 'uua$'
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'top$l') undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'uvt$') undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'A_b_c_prod_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'A_b_c_prod_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'top$l') undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'uvt$') undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'A_b_c_prod_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'A_b_c_prod_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'top$l') undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'uvt$') undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'A_b_c_prod_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzn$'(fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'A_b_c_prod_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxy$',type,'uxy$': 'E_f_g_prod_prod_update_f_g_prod_update_fun$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uxy$',axiom,
% 48.73/7.41 'uxy$'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1) = 'uvu$'
% 48.73/7.41 % 'uxy$'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uxy$'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uxy$'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxq$',type,'uxq$': 'B_update$' > 'B_update_b_update_fun$').
% 48.73/7.41 tff('function_uxq$',axiom,
% 48.73/7.41 'uxq$'('id_update$j') = fmb_'B_update_b_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuh$',type,'uuh$': 'F_update_set$' * 'G_update_set$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uuh$',axiom,
% 48.73/7.41 'uuh$'('top$',fmb_'G_update_set$'_1) = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41 % 'uuh$'('top$',fmb_'G_update_set$'_2) undefined in model
% 48.73/7.41 % 'uuh$'('top$',fmb_'G_update_set$'_3) undefined in model
% 48.73/7.41 % 'uuh$'('top$',fmb_'G_update_set$'_4) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_2,fmb_'G_update_set$'_1) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_2,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_2,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_2,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_3,fmb_'G_update_set$'_1) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_3,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_3,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_3,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_4,fmb_'G_update_set$'_1) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_4,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_4,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.41 % 'uuh$'(fmb_'F_update_set$'_4,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$dl',type,'fun_app$dl': 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$' * 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$dl',axiom,
% 48.73/7.41 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3) = 'id_update$d'
% 48.73/7.41 & 'fun_app$dl'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4) = 'id_update$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxt$',type,'uxt$': 'E_f_g_prod_prod_update_set_bool_fun$' > 'Bool_bool_fun$').
% 48.73/7.41 tff('function_uxt$',axiom,
% 48.73/7.41 'uxt$'('top$u') = fmb_'Bool_bool_fun$'_2
% 48.73/7.41 & 'uxt$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'Bool_bool_fun$'_1
% 48.73/7.41 & 'uxt$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'Bool_bool_fun$'_1
% 48.73/7.41 & 'uxt$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = fmb_'Bool_bool_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uze$',type,'uze$': 'E_update_b_update_fun$' * 'E_update_set$' * 'B_update_bool_fun$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uze$',axiom,
% 48.73/7.41 'uze$'(fmb_'E_update_b_update_fun$'_1,'top$a','top$s') = 'top$q'
% 48.73/7.41 & 'uze$'(fmb_'E_update_b_update_fun$'_1,'top$a',fmb_'B_update_bool_fun$'_2) = 'top$q'
% 48.73/7.41 & 'uze$'(fmb_'E_update_b_update_fun$'_1,'top$a',fmb_'B_update_bool_fun$'_3) = 'top$q'
% 48.73/7.41 & 'uze$'(fmb_'E_update_b_update_fun$'_1,'top$a',fmb_'B_update_bool_fun$'_4) = 'top$q'
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_2,'top$a','top$s') undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_2,'top$a',fmb_'B_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_2,'top$a',fmb_'B_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_2,'top$a',fmb_'B_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_3,'top$a','top$s') undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_3,'top$a',fmb_'B_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_3,'top$a',fmb_'B_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_3,'top$a',fmb_'B_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_4,'top$a','top$s') undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_4,'top$a',fmb_'B_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_4,'top$a',fmb_'B_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uze$'(fmb_'E_update_b_update_fun$'_4,'top$a',fmb_'B_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwd$',type,'uwd$': 'A_update_e_update_fun$' > 'A_update_d_e_prod_update_fun$').
% 48.73/7.41 tff('function_uwd$',axiom,
% 48.73/7.41 'uwd$'(fmb_'A_update_e_update_fun$'_1) = fmb_'A_update_d_e_prod_update_fun$'_4
% 48.73/7.41 % 'uwd$'(fmb_'A_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwd$'(fmb_'A_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwd$'(fmb_'A_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$e',type,'comp_update$e': 'F_update$' > 'F_update_f_update_fun$').
% 48.73/7.41 tff('function_comp_update$e',axiom,
% 48.73/7.41 'comp_update$e'('id_update$i') = fmb_'F_update_f_update_fun$'_2
% 48.73/7.41 & 'comp_update$e'(fmb_'F_update$'_2) = fmb_'F_update_f_update_fun$'_2
% 48.73/7.41 & 'comp_update$e'(fmb_'F_update$'_3) = fmb_'F_update_f_update_fun$'_2
% 48.73/7.41 & 'comp_update$e'(fmb_'F_update$'_4) = fmb_'F_update_f_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$aq',type,'fun_app$aq': 'B_update_b_update_fun$' * 'B_update$' > 'B_update$').
% 48.73/7.41 tff('function_fun_app$aq',axiom,
% 48.73/7.41 'fun_app$aq'(fmb_'B_update_b_update_fun$'_1,'id_update$j') = 'id_update$j'
% 48.73/7.41 & 'fun_app$aq'(fmb_'B_update_b_update_fun$'_2,'id_update$j') = 'id_update$j'
% 48.73/7.41 & 'fun_app$aq'(fmb_'B_update_b_update_fun$'_3,'id_update$j') = 'id_update$j'
% 48.73/7.41 & 'fun_app$aq'(fmb_'B_update_b_update_fun$'_4,'id_update$j') = 'id_update$j'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzv$',type,'uzv$': 'E_f_g_prod_prod_update_set_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzv$',axiom,
% 48.73/7.41 'uzv$'('top$f') = 'uzx$'
% 48.73/7.41 & 'uzv$'(fmb_'E_f_g_prod_prod_update_set_set$'_2) = 'uzx$'
% 48.73/7.41 & 'uzv$'(fmb_'E_f_g_prod_prod_update_set_set$'_3) = 'uzx$'
% 48.73/7.41 & 'uzv$'(fmb_'E_f_g_prod_prod_update_set_set$'_4) = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$ah',type,'image$ah': 'E_f_g_prod_prod_update_b_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'B_update_set$').
% 48.73/7.41 tff('function_image$ah',axiom,
% 48.73/7.41 'image$ah'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_1,'bot$') = 'top$c'
% 48.73/7.41 & 'image$ah'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_1,'top$e') = 'top$c'
% 48.73/7.41 % 'image$ah'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'image$ah'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'image$ah'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'image$ah'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'image$ah'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'image$ah'(fmb_'E_f_g_prod_prod_update_b_update_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bf',type,'fun_app$bf': 'A_update_d_b_prod_update_fun$' * 'A_update$' > 'D_b_prod_update$').
% 48.73/7.41 tff('function_fun_app$bf',axiom,
% 48.73/7.41 'fun_app$bf'(fmb_'A_update_d_b_prod_update_fun$'_1,'id_update$h') = fmb_'D_b_prod_update$'_4
% 48.73/7.41 & 'fun_app$bf'(fmb_'A_update_d_b_prod_update_fun$'_2,'id_update$h') = fmb_'D_b_prod_update$'_2
% 48.73/7.41 & 'fun_app$bf'(fmb_'A_update_d_b_prod_update_fun$'_3,'id_update$h') = fmb_'D_b_prod_update$'_4
% 48.73/7.41 & 'fun_app$bf'(fmb_'A_update_d_b_prod_update_fun$'_4,'id_update$h') = fmb_'D_b_prod_update$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$av',type,'fun_app$av': 'B_c_prod_update_e_f_g_prod_prod_update_fun$' * 'B_c_prod_update$' > 'E_f_g_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$av',axiom,
% 48.73/7.41 'fun_app$av'(fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_1,'id_update$f') = 'id_update$'
% 48.73/7.41 & 'fun_app$av'(fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_2,'id_update$f') = 'id_update$'
% 48.73/7.41 & 'fun_app$av'(fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_3,'id_update$f') = 'id_update$'
% 48.73/7.41 & 'fun_app$av'(fmb_'B_c_prod_update_e_f_g_prod_prod_update_fun$'_4,'id_update$f') = 'id_update$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvp$',type,'uvp$': 'A_b_c_prod_prod_update_set$' > 'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uvp$',axiom,
% 48.73/7.41 'uvp$'('top$k') = fmb_'A_b_c_prod_prod_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwg$',type,'uwg$': 'A_update_f_update_fun$' > 'A_update_c_f_prod_update_fun$').
% 48.73/7.41 tff('function_uwg$',axiom,
% 48.73/7.41 'uwg$'(fmb_'A_update_f_update_fun$'_1) = fmb_'A_update_c_f_prod_update_fun$'_1
% 48.73/7.41 % 'uwg$'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwg$'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwg$'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvx$',type,'uvx$': 'A_update_f_update_fun$' > 'A_update_e_f_prod_update_fun$').
% 48.73/7.41 tff('function_uvx$',axiom,
% 48.73/7.41 'uvx$'(fmb_'A_update_f_update_fun$'_1) = fmb_'A_update_e_f_prod_update_fun$'_1
% 48.73/7.41 % 'uvx$'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uvx$'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uvx$'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$p',type,'image$p': 'E_update_a_update_fun$' * 'E_update_set$' > 'A_update_set$').
% 48.73/7.41 tff('function_image$p',axiom,
% 48.73/7.41 'image$p'(fmb_'E_update_a_update_fun$'_1,'top$a') = 'top$d'
% 48.73/7.41 % 'image$p'(fmb_'E_update_a_update_fun$'_2,'top$a') undefined in model
% 48.73/7.41 % 'image$p'(fmb_'E_update_a_update_fun$'_3,'top$a') undefined in model
% 48.73/7.41 % 'image$p'(fmb_'E_update_a_update_fun$'_4,'top$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$i',type,'image$i': 'A_update_e_update_fun$' * 'A_update_set$' > 'E_update_set$').
% 48.73/7.41 tff('function_image$i',axiom,
% 48.73/7.41 'image$i'(fmb_'A_update_e_update_fun$'_1,'top$d') = 'top$a'
% 48.73/7.41 % 'image$i'(fmb_'A_update_e_update_fun$'_2,'top$d') undefined in model
% 48.73/7.41 % 'image$i'(fmb_'A_update_e_update_fun$'_3,'top$d') undefined in model
% 48.73/7.41 % 'image$i'(fmb_'A_update_e_update_fun$'_4,'top$d') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ch',type,'fun_app$ch': 'B_update_e_update_fun$' * 'B_update$' > 'E_update$').
% 48.73/7.41 tff('function_fun_app$ch',axiom,
% 48.73/7.41 'fun_app$ch'(fmb_'B_update_e_update_fun$'_1,'id_update$j') = 'id_update$g'
% 48.73/7.41 % 'fun_app$ch'(fmb_'B_update_e_update_fun$'_2,'id_update$j') undefined in model
% 48.73/7.41 % 'fun_app$ch'(fmb_'B_update_e_update_fun$'_3,'id_update$j') undefined in model
% 48.73/7.41 % 'fun_app$ch'(fmb_'B_update_e_update_fun$'_4,'id_update$j') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxc$',type,'uxc$': 'A_update_b_update_fun$' > 'A_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('function_uxc$',axiom,
% 48.73/7.41 'uxc$'(fmb_'A_update_b_update_fun$'_1) = fmb_'A_update_b_c_prod_update_fun$'_2
% 48.73/7.41 % 'uxc$'(fmb_'A_update_b_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uxc$'(fmb_'A_update_b_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uxc$'(fmb_'A_update_b_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$g',type,'tensor_update$g': 'F_update$' * 'E_update$' > 'F_e_prod_update$').
% 48.73/7.41 tff('function_tensor_update$g',axiom,
% 48.73/7.41 'tensor_update$g'('id_update$i','id_update$g') = fmb_'F_e_prod_update$'_2
% 48.73/7.41 & 'tensor_update$g'(fmb_'F_update$'_2,'id_update$g') = fmb_'F_e_prod_update$'_2
% 48.73/7.41 & 'tensor_update$g'(fmb_'F_update$'_3,'id_update$g') = fmb_'F_e_prod_update$'_4
% 48.73/7.41 & 'tensor_update$g'(fmb_'F_update$'_4,'id_update$g') = fmb_'F_e_prod_update$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwe$',type,'uwe$': 'A_update_b_update_fun$' > 'A_update_d_b_prod_update_fun$').
% 48.73/7.41 tff('function_uwe$',axiom,
% 48.73/7.41 'uwe$'(fmb_'A_update_b_update_fun$'_1) = fmb_'A_update_d_b_prod_update_fun$'_2
% 48.73/7.41 % 'uwe$'(fmb_'A_update_b_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwe$'(fmb_'A_update_b_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwe$'(fmb_'A_update_b_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvc$',type,'uvc$': 'E_f_g_prod_prod_update_set_set$' * 'E_f_g_prod_prod_update_set_bool_fun$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_uvc$',axiom,
% 48.73/7.41 'uvc$'('top$f','top$u') = 'top$u'
% 48.73/7.41 & 'uvc$'('top$f',fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uvc$'('top$f',fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'uvc$'('top$f',fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_2,'top$u') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_3,'top$u') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_4,'top$u') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41 & 'uvc$'(fmb_'E_f_g_prod_prod_update_set_set$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyj$',type,'uyj$': 'E_f_g_prod_prod_update_set_bool_fun$' * 'E_f_g_prod_prod_update_set_set$' > 'Bool_bool_fun$').
% 48.73/7.41 tff('function_uyj$',axiom,
% 48.73/7.41 'uyj$'('top$u','top$f') = fmb_'Bool_bool_fun$'_2
% 48.73/7.41 & 'uyj$'('top$u',fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'Bool_bool_fun$'_2
% 48.73/7.41 & 'uyj$'('top$u',fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'Bool_bool_fun$'_2
% 48.73/7.41 & 'uyj$'('top$u',fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'Bool_bool_fun$'_4
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'top$f') = fmb_'Bool_bool_fun$'_1
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'Bool_bool_fun$'_3
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'Bool_bool_fun$'_2
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'Bool_bool_fun$'_4
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'top$f') = fmb_'Bool_bool_fun$'_1
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'Bool_bool_fun$'_2
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'Bool_bool_fun$'_3
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'Bool_bool_fun$'_4
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'top$f') = fmb_'Bool_bool_fun$'_3
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_2) = fmb_'Bool_bool_fun$'_3
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_3) = fmb_'Bool_bool_fun$'_3
% 48.73/7.41 & 'uyj$'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_4) = fmb_'Bool_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$o',type,'comp_update$o': 'E_a_prod_update$' * 'E_a_prod_update$' > 'E_a_prod_update$').
% 48.73/7.41 tff('function_comp_update$o',axiom,
% 48.73/7.41 'comp_update$o'(fmb_'E_a_prod_update$'_1,fmb_'E_a_prod_update$'_1) = fmb_'E_a_prod_update$'_1
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_1,fmb_'E_a_prod_update$'_2) = fmb_'E_a_prod_update$'_2
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_1,fmb_'E_a_prod_update$'_3) = fmb_'E_a_prod_update$'_1
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_1,fmb_'E_a_prod_update$'_4) = fmb_'E_a_prod_update$'_3
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_2,fmb_'E_a_prod_update$'_1) = fmb_'E_a_prod_update$'_2
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_2,fmb_'E_a_prod_update$'_2) = fmb_'E_a_prod_update$'_2
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_2,fmb_'E_a_prod_update$'_3) = fmb_'E_a_prod_update$'_3
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_2,fmb_'E_a_prod_update$'_4) = fmb_'E_a_prod_update$'_3
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_3,fmb_'E_a_prod_update$'_1) = fmb_'E_a_prod_update$'_2
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_3,fmb_'E_a_prod_update$'_2) = fmb_'E_a_prod_update$'_1
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_3,fmb_'E_a_prod_update$'_3) = fmb_'E_a_prod_update$'_3
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_3,fmb_'E_a_prod_update$'_4) = fmb_'E_a_prod_update$'_3
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_4,fmb_'E_a_prod_update$'_1) = fmb_'E_a_prod_update$'_3
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_4,fmb_'E_a_prod_update$'_2) = fmb_'E_a_prod_update$'_2
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_4,fmb_'E_a_prod_update$'_3) = fmb_'E_a_prod_update$'_1
% 48.73/7.41 & 'comp_update$o'(fmb_'E_a_prod_update$'_4,fmb_'E_a_prod_update$'_4) = fmb_'E_a_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzs$',type,'uzs$': 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzs$',axiom,
% 48.73/7.41 'uzs$'('bot$') = 'uud$'
% 48.73/7.41 & 'uzs$'('top$e') = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$s',type,'tensor_update$s': 'C_update$' * 'F_update$' > 'C_f_prod_update$').
% 48.73/7.41 tff('function_tensor_update$s',axiom,
% 48.73/7.41 'tensor_update$s'('id_update$e','id_update$i') = fmb_'C_f_prod_update$'_2
% 48.73/7.41 & 'tensor_update$s'('id_update$e',fmb_'F_update$'_2) = fmb_'C_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$s'('id_update$e',fmb_'F_update$'_3) = fmb_'C_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$s'('id_update$e',fmb_'F_update$'_4) = fmb_'C_f_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_tensor$h',type,'register_tensor$h': 'A_update_f_update_fun$' * 'B_c_prod_update_g_update_fun$' > 'A_b_c_prod_prod_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('function_register_tensor$h',axiom,
% 48.73/7.41 'register_tensor$h'(fmb_'A_update_f_update_fun$'_1,fmb_'B_c_prod_update_g_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_f_g_prod_update_fun$'_4
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_1,fmb_'B_c_prod_update_g_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_1,fmb_'B_c_prod_update_g_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_1,fmb_'B_c_prod_update_g_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_2,fmb_'B_c_prod_update_g_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_2,fmb_'B_c_prod_update_g_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_2,fmb_'B_c_prod_update_g_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_2,fmb_'B_c_prod_update_g_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_3,fmb_'B_c_prod_update_g_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_3,fmb_'B_c_prod_update_g_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_3,fmb_'B_c_prod_update_g_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_3,fmb_'B_c_prod_update_g_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_4,fmb_'B_c_prod_update_g_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_4,fmb_'B_c_prod_update_g_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_4,fmb_'B_c_prod_update_g_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$h'(fmb_'A_update_f_update_fun$'_4,fmb_'B_c_prod_update_g_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$b',type,'comp_update$b': 'C_update$' > 'C_update_c_update_fun$').
% 48.73/7.41 tff('function_comp_update$b',axiom,
% 48.73/7.41 'comp_update$b'('id_update$e') = fmb_'C_update_c_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$',type,'separating$': 'D_itself$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_separating$',axiom,
% 48.73/7.41 'separating$'('type$') = 'top$u'
% 48.73/7.41 % 'separating$'(fmb_'D_itself$'_2) undefined in model
% 48.73/7.41 % 'separating$'(fmb_'D_itself$'_3) undefined in model
% 48.73/7.41 % 'separating$'(fmb_'D_itself$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$n',type,'image$n': 'E_f_g_prod_prod_update_f_g_prod_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'F_g_prod_update_set$').
% 48.73/7.41 tff('function_image$n',axiom,
% 48.73/7.41 'image$n'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1,'bot$') = 'top$m'
% 48.73/7.41 & 'image$n'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1,'top$e') = 'top$m'
% 48.73/7.41 % 'image$n'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2,'bot$') undefined in model
% 48.73/7.41 % 'image$n'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2,'top$e') undefined in model
% 48.73/7.41 % 'image$n'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3,'bot$') undefined in model
% 48.73/7.41 % 'image$n'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3,'top$e') undefined in model
% 48.73/7.41 % 'image$n'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4,'bot$') undefined in model
% 48.73/7.41 % 'image$n'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4,'top$e') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$v',type,'image$v': 'A_update_b_c_prod_update_fun$' * 'A_update_set$' > 'B_c_prod_update_set$').
% 48.73/7.41 tff('function_image$v',axiom,
% 48.73/7.41 'image$v'(fmb_'A_update_b_c_prod_update_fun$'_1,'top$d') = 'top$i'
% 48.73/7.41 & 'image$v'(fmb_'A_update_b_c_prod_update_fun$'_2,'top$d') = 'top$i'
% 48.73/7.41 & 'image$v'(fmb_'A_update_b_c_prod_update_fun$'_3,'top$d') = 'top$i'
% 48.73/7.41 & 'image$v'(fmb_'A_update_b_c_prod_update_fun$'_4,'top$d') = 'top$i'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ag',type,'fun_app$ag': 'A_update_b_d_prod_update_fun$' * 'A_update$' > 'B_d_prod_update$').
% 48.73/7.41 tff('function_fun_app$ag',axiom,
% 48.73/7.41 'fun_app$ag'(fmb_'A_update_b_d_prod_update_fun$'_1,'id_update$h') = fmb_'B_d_prod_update$'_2
% 48.73/7.41 & 'fun_app$ag'(fmb_'A_update_b_d_prod_update_fun$'_2,'id_update$h') = fmb_'B_d_prod_update$'_4
% 48.73/7.41 & 'fun_app$ag'(fmb_'A_update_b_d_prod_update_fun$'_3,'id_update$h') = fmb_'B_d_prod_update$'_3
% 48.73/7.41 & 'fun_app$ag'(fmb_'A_update_b_d_prod_update_fun$'_4,'id_update$h') = fmb_'B_d_prod_update$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyd$',type,'uyd$': 'B_update_b_c_prod_update_fun$' * 'B_update_set$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uyd$',axiom,
% 48.73/7.41 'uyd$'('uxm$','top$c') = 'top$j'
% 48.73/7.41 & 'uyd$'(fmb_'B_update_b_c_prod_update_fun$'_2,'top$c') = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uyd$'(fmb_'B_update_b_c_prod_update_fun$'_3,'top$c') = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uyd$'(fmb_'B_update_b_c_prod_update_fun$'_4,'top$c') = 'uvs$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uww$',type,'uww$': 'B_update_a_update_fun$' > 'B_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uww$',axiom,
% 48.73/7.41 'uww$'(fmb_'B_update_a_update_fun$'_1) = fmb_'B_update_a_b_c_prod_prod_update_fun$'_2
% 48.73/7.41 % 'uww$'(fmb_'B_update_a_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uww$'(fmb_'B_update_a_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uww$'(fmb_'B_update_a_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bj',type,'fun_app$bj': 'E_f_g_prod_prod_update_f_g_prod_update_fun$' * 'E_f_g_prod_prod_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_fun_app$bj',axiom,
% 48.73/7.41 'fun_app$bj'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_1,'id_update$') = 'id_update$c'
% 48.73/7.41 % 'fun_app$bj'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_2,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$bj'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_3,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$bj'(fmb_'E_f_g_prod_prod_update_f_g_prod_update_fun$'_4,'id_update$') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$f',type,'tensor_update$f': 'A_update$' > 'B_c_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_tensor_update$f',axiom,
% 48.73/7.41 'tensor_update$f'('id_update$h') = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$x',type,'fun_app$x': 'A_update_f_c_prod_update_fun$' * 'A_update$' > 'F_c_prod_update$').
% 48.73/7.41 tff('function_fun_app$x',axiom,
% 48.73/7.41 'fun_app$x'(fmb_'A_update_f_c_prod_update_fun$'_1,'id_update$h') = fmb_'F_c_prod_update$'_1
% 48.73/7.41 & 'fun_app$x'(fmb_'A_update_f_c_prod_update_fun$'_2,'id_update$h') = fmb_'F_c_prod_update$'_4
% 48.73/7.41 & 'fun_app$x'(fmb_'A_update_f_c_prod_update_fun$'_3,'id_update$h') = fmb_'F_c_prod_update$'_4
% 48.73/7.41 & 'fun_app$x'(fmb_'A_update_f_c_prod_update_fun$'_4,'id_update$h') = fmb_'F_c_prod_update$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$v',type,'fun_app$v': 'A_update_f_e_prod_update_fun$' * 'A_update$' > 'F_e_prod_update$').
% 48.73/7.41 tff('function_fun_app$v',axiom,
% 48.73/7.41 'fun_app$v'(fmb_'A_update_f_e_prod_update_fun$'_1,'id_update$h') = fmb_'F_e_prod_update$'_2
% 48.73/7.41 & 'fun_app$v'(fmb_'A_update_f_e_prod_update_fun$'_2,'id_update$h') = fmb_'F_e_prod_update$'_1
% 48.73/7.41 & 'fun_app$v'(fmb_'A_update_f_e_prod_update_fun$'_3,'id_update$h') = fmb_'F_e_prod_update$'_4
% 48.73/7.41 & 'fun_app$v'(fmb_'A_update_f_e_prod_update_fun$'_4,'id_update$h') = fmb_'F_e_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$r',type,'tensor_update$r': 'D_update$' * 'F_update$' > 'D_f_prod_update$').
% 48.73/7.41 tff('function_tensor_update$r',axiom,
% 48.73/7.41 'tensor_update$r'('id_update$d','id_update$i') = fmb_'D_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$r'('id_update$d',fmb_'F_update$'_2) = fmb_'D_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$r'('id_update$d',fmb_'F_update$'_3) = fmb_'D_f_prod_update$'_1
% 48.73/7.41 & 'tensor_update$r'('id_update$d',fmb_'F_update$'_4) = fmb_'D_f_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uve$',type,'uve$': 'A_b_c_prod_prod_update_set$' * 'A_b_c_prod_prod_update_bool_fun$' > 'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uve$',axiom,
% 48.73/7.41 'uve$'('top$k','top$l') = fmb_'A_b_c_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uve$'('top$k','uvt$') = fmb_'A_b_c_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uve$'('top$k',fmb_'A_b_c_prod_prod_update_bool_fun$'_3) = fmb_'A_b_c_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uve$'('top$k',fmb_'A_b_c_prod_prod_update_bool_fun$'_4) = fmb_'A_b_c_prod_prod_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$t',type,'tensor_update$t': 'E_update$' * 'B_update$' > 'E_b_prod_update$').
% 48.73/7.41 tff('function_tensor_update$t',axiom,
% 48.73/7.41 'tensor_update$t'('id_update$g','id_update$j') = fmb_'E_b_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$z',type,'fun_app$z': 'A_update_e_update_fun$' * 'A_update$' > 'E_update$').
% 48.73/7.41 tff('function_fun_app$z',axiom,
% 48.73/7.41 'fun_app$z'(fmb_'A_update_e_update_fun$'_1,'id_update$h') = 'id_update$g'
% 48.73/7.41 % 'fun_app$z'(fmb_'A_update_e_update_fun$'_2,'id_update$h') undefined in model
% 48.73/7.41 % 'fun_app$z'(fmb_'A_update_e_update_fun$'_3,'id_update$h') undefined in model
% 48.73/7.41 % 'fun_app$z'(fmb_'A_update_e_update_fun$'_4,'id_update$h') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxo$',type,'uxo$': 'D_update$' > 'D_update_d_update_fun$').
% 48.73/7.41 tff('function_uxo$',axiom,
% 48.73/7.41 'uxo$'('id_update$d') = fmb_'D_update_d_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyk$',type,'uyk$': 'E_update_e_f_g_prod_prod_update_fun$' * 'E_update_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uyk$',axiom,
% 48.73/7.41 'uyk$'('uxj$','top$a') = 'uud$'
% 48.73/7.41 & 'uyk$'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_2,'top$a') = 'uud$'
% 48.73/7.41 & 'uyk$'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_3,'top$a') = 'uud$'
% 48.73/7.41 & 'uyk$'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_4,'top$a') = 'uud$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_tensor$u',type,'register_tensor$u': 'A_update_e_update_fun$' * 'B_c_prod_update_f_g_prod_update_fun$' > 'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$').
% 48.73/7.41 tff('function_register_tensor$u',axiom,
% 48.73/7.41 'register_tensor$u'(fmb_'A_update_e_update_fun$'_1,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$u'(fmb_'A_update_e_update_fun$'_1,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$u'(fmb_'A_update_e_update_fun$'_1,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$u'(fmb_'A_update_e_update_fun$'_1,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) = fmb_'A_b_c_prod_prod_update_e_f_g_prod_prod_update_fun$'_4
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_2,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_2,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_2,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_2,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_3,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_3,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_3,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_3,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_4,fmb_'B_c_prod_update_f_g_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_4,fmb_'B_c_prod_update_f_g_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_4,fmb_'B_c_prod_update_f_g_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$u'(fmb_'A_update_e_update_fun$'_4,fmb_'B_c_prod_update_f_g_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvh$',type,'uvh$': 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('function_uvh$',axiom,
% 48.73/7.41 'uvh$'('bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uvh$'('top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$x',type,'image$x': 'C_update_f_g_prod_update_fun$' * 'C_update_set$' > 'F_g_prod_update_set$').
% 48.73/7.41 tff('function_image$x',axiom,
% 48.73/7.41 'image$x'(fmb_'C_update_f_g_prod_update_fun$'_1,'top$b') = 'top$m'
% 48.73/7.41 % 'image$x'(fmb_'C_update_f_g_prod_update_fun$'_2,'top$b') undefined in model
% 48.73/7.41 % 'image$x'(fmb_'C_update_f_g_prod_update_fun$'_3,'top$b') undefined in model
% 48.73/7.41 % 'image$x'(fmb_'C_update_f_g_prod_update_fun$'_4,'top$b') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvj$',type,'uvj$': 'C_update_set$' > 'C_update_bool_fun$').
% 48.73/7.41 tff('function_uvj$',axiom,
% 48.73/7.41 'uvj$'('top$b') = 'top$r'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzg$',type,'uzg$': 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$' * 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$' > 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff('function_uzg$',axiom,
% 48.73/7.41 'uzg$'('uminus$','collect$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41 & 'uzg$'('uminus$',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = 'collect$'
% 48.73/7.41 & 'uzg$'('uminus$',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'('uminus$',fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,'collect$') = 'collect$'
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,'collect$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,'collect$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_3) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'uzg$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvb$',type,'uvb$': 'A_update_set$' * 'A_update_bool_fun$' > 'A_update_bool_fun$').
% 48.73/7.41 tff('function_uvb$',axiom,
% 48.73/7.41 'uvb$'('top$d','top$t') = 'top$t'
% 48.73/7.41 & 'uvb$'('top$d',fmb_'A_update_bool_fun$'_2) = fmb_'A_update_bool_fun$'_2
% 48.73/7.41 & 'uvb$'('top$d',fmb_'A_update_bool_fun$'_3) = fmb_'A_update_bool_fun$'_3
% 48.73/7.41 & 'uvb$'('top$d',fmb_'A_update_bool_fun$'_4) = fmb_'A_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$d',type,'image$d': 'E_update_b_update_fun$' * 'E_update_set$' > 'B_update_set$').
% 48.73/7.41 tff('function_image$d',axiom,
% 48.73/7.41 'image$d'(fmb_'E_update_b_update_fun$'_1,'top$a') = 'top$c'
% 48.73/7.41 % 'image$d'(fmb_'E_update_b_update_fun$'_2,'top$a') undefined in model
% 48.73/7.41 % 'image$d'(fmb_'E_update_b_update_fun$'_3,'top$a') undefined in model
% 48.73/7.41 % 'image$d'(fmb_'E_update_b_update_fun$'_4,'top$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzb$',type,'uzb$': 'A_update_c_update_fun$' * 'A_update_set$' * 'C_update_bool_fun$' > 'C_update_bool_fun$').
% 48.73/7.41 tff('function_uzb$',axiom,
% 48.73/7.41 'uzb$'(fmb_'A_update_c_update_fun$'_1,'top$d','top$r') = 'top$r'
% 48.73/7.41 & 'uzb$'(fmb_'A_update_c_update_fun$'_1,'top$d',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uzb$'(fmb_'A_update_c_update_fun$'_1,'top$d',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uzb$'(fmb_'A_update_c_update_fun$'_1,'top$d',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_2,'top$d','top$r') undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_2,'top$d',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_2,'top$d',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_2,'top$d',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_3,'top$d','top$r') undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_3,'top$d',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_3,'top$d',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_3,'top$d',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_4,'top$d','top$r') undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_4,'top$d',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_4,'top$d',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzb$'(fmb_'A_update_c_update_fun$'_4,'top$d',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bm',type,'fun_app$bm': 'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$' * 'E_f_g_prod_prod_update$' > 'A_b_c_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$bm',axiom,
% 48.73/7.41 'fun_app$bm'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1,'id_update$') = 'id_update$a'
% 48.73/7.41 % 'fun_app$bm'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$bm'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3,'id_update$') undefined in model
% 48.73/7.41 % 'fun_app$bm'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4,'id_update$') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzd$',type,'uzd$': 'E_update_b_update_fun$' * 'E_update_set$' * 'B_update_bool_fun$' > 'B_update_bool_fun$').
% 48.73/7.41 tff('function_uzd$',axiom,
% 48.73/7.41 'uzd$'(fmb_'E_update_b_update_fun$'_1,'top$a','top$s') = 'top$s'
% 48.73/7.41 & 'uzd$'(fmb_'E_update_b_update_fun$'_1,'top$a',fmb_'B_update_bool_fun$'_2) = fmb_'B_update_bool_fun$'_2
% 48.73/7.41 & 'uzd$'(fmb_'E_update_b_update_fun$'_1,'top$a',fmb_'B_update_bool_fun$'_3) = fmb_'B_update_bool_fun$'_3
% 48.73/7.41 & 'uzd$'(fmb_'E_update_b_update_fun$'_1,'top$a',fmb_'B_update_bool_fun$'_4) = fmb_'B_update_bool_fun$'_4
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_2,'top$a','top$s') undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_2,'top$a',fmb_'B_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_2,'top$a',fmb_'B_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_2,'top$a',fmb_'B_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_3,'top$a','top$s') undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_3,'top$a',fmb_'B_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_3,'top$a',fmb_'B_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_3,'top$a',fmb_'B_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_4,'top$a','top$s') undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_4,'top$a',fmb_'B_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_4,'top$a',fmb_'B_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzd$'(fmb_'E_update_b_update_fun$'_4,'top$a',fmb_'B_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$r',type,'fun_app$r': 'B_update_a_b_c_prod_prod_update_fun$' * 'B_update$' > 'A_b_c_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$r',axiom,
% 48.73/7.41 'fun_app$r'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_1,'id_update$j') = 'id_update$a'
% 48.73/7.41 & 'fun_app$r'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_2,'id_update$j') = 'id_update$a'
% 48.73/7.41 & 'fun_app$r'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_3,'id_update$j') = 'id_update$a'
% 48.73/7.41 & 'fun_app$r'(fmb_'B_update_a_b_c_prod_prod_update_fun$'_4,'id_update$j') = 'id_update$a'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_inf$b',type,'inf$b': 'E_f_g_prod_prod_update_bool_fun_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_inf$b',axiom,
% 48.73/7.41 'inf$b'('top$v') = 'uzx$'
% 48.73/7.41 & 'inf$b'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) = 'uzx$'
% 48.73/7.41 & 'inf$b'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) = 'uzx$'
% 48.73/7.41 & 'inf$b'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzr$',type,'uzr$': 'E_f_g_prod_prod_update_set_set$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzr$',axiom,
% 48.73/7.41 'uzr$'('top$f') = 'uud$'
% 48.73/7.41 & 'uzr$'(fmb_'E_f_g_prod_prod_update_set_set$'_2) = 'uzx$'
% 48.73/7.41 & 'uzr$'(fmb_'E_f_g_prod_prod_update_set_set$'_3) = 'uud$'
% 48.73/7.41 & 'uzr$'(fmb_'E_f_g_prod_prod_update_set_set$'_4) = 'uzx$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$h',type,'comp_update$h': 'B_c_prod_update$' > 'B_c_prod_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('function_comp_update$h',axiom,
% 48.73/7.41 'comp_update$h'('id_update$f') = fmb_'B_c_prod_update_b_c_prod_update_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$g',type,'comp_update$g': 'G_update$' > 'G_update_g_update_fun$').
% 48.73/7.41 tff('function_comp_update$g',axiom,
% 48.73/7.41 'comp_update$g'('id_update$b') = fmb_'G_update_g_update_fun$'_2
% 48.73/7.41 & 'comp_update$g'(fmb_'G_update$'_2) = fmb_'G_update_g_update_fun$'_1
% 48.73/7.41 & 'comp_update$g'(fmb_'G_update$'_3) = fmb_'G_update_g_update_fun$'_1
% 48.73/7.41 & 'comp_update$g'(fmb_'G_update$'_4) = fmb_'G_update_g_update_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyr$',type,'uyr$': 'B_update_e_update_fun$' * 'B_update_set$' * 'E_update_bool_fun$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uyr$',axiom,
% 48.73/7.41 'uyr$'(fmb_'B_update_e_update_fun$'_1,'top$c','top$q') = 'top$q'
% 48.73/7.41 & 'uyr$'(fmb_'B_update_e_update_fun$'_1,'top$c',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyr$'(fmb_'B_update_e_update_fun$'_1,'top$c',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyr$'(fmb_'B_update_e_update_fun$'_1,'top$c',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_2,'top$c','top$q') undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_2,'top$c',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_2,'top$c',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_2,'top$c',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_3,'top$c','top$q') undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_3,'top$c',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_3,'top$c',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_3,'top$c',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_4,'top$c','top$q') undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_4,'top$c',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_4,'top$c',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyr$'(fmb_'B_update_e_update_fun$'_4,'top$c',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$w',type,'tensor_update$w': 'D_update$' * 'A_update$' > 'D_a_prod_update$').
% 48.73/7.41 tff('function_tensor_update$w',axiom,
% 48.73/7.41 'tensor_update$w'('id_update$d','id_update$h') = fmb_'D_a_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$o',type,'tensor_update$o': 'A_update$' * 'E_update$' > 'A_e_prod_update$').
% 48.73/7.41 tff('function_tensor_update$o',axiom,
% 48.73/7.41 'tensor_update$o'('id_update$h','id_update$g') = fmb_'A_e_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvz$',type,'uvz$': 'A_update_d_update_fun$' > 'A_update_e_d_prod_update_fun$').
% 48.73/7.41 tff('function_uvz$',axiom,
% 48.73/7.41 'uvz$'(fmb_'A_update_d_update_fun$'_1) = fmb_'A_update_e_d_prod_update_fun$'_3
% 48.73/7.41 & 'uvz$'(fmb_'A_update_d_update_fun$'_2) = fmb_'A_update_e_d_prod_update_fun$'_4
% 48.73/7.41 & 'uvz$'(fmb_'A_update_d_update_fun$'_3) = fmb_'A_update_e_d_prod_update_fun$'_3
% 48.73/7.41 & 'uvz$'(fmb_'A_update_d_update_fun$'_4) = fmb_'A_update_e_d_prod_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyv$',type,'uyv$': 'E_update_c_update_fun$' * 'E_update_set$' * 'C_update_bool_fun$' > 'C_update_bool_fun$').
% 48.73/7.41 tff('function_uyv$',axiom,
% 48.73/7.41 'uyv$'(fmb_'E_update_c_update_fun$'_1,'top$a','top$r') = 'top$r'
% 48.73/7.41 & 'uyv$'(fmb_'E_update_c_update_fun$'_1,'top$a',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uyv$'(fmb_'E_update_c_update_fun$'_1,'top$a',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uyv$'(fmb_'E_update_c_update_fun$'_1,'top$a',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_2,'top$a','top$r') undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_2,'top$a',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_2,'top$a',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_2,'top$a',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_3,'top$a','top$r') undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_3,'top$a',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_3,'top$a',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_3,'top$a',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_4,'top$a','top$r') undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_4,'top$a',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_4,'top$a',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyv$'(fmb_'E_update_c_update_fun$'_4,'top$a',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$d',type,'tensor_update$d': 'D_update$' > 'D_update_d_d_prod_update_fun$').
% 48.73/7.41 tff('function_tensor_update$d',axiom,
% 48.73/7.41 'tensor_update$d'('id_update$d') = fmb_'D_update_d_d_prod_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uym$',type,'uym$': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$' * 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('function_uym$',axiom,
% 48.73/7.41 'uym$'('uya$','bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uym$'('uya$','top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uym$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,'bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uym$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2,'top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uym$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,'bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uym$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3,'top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41 & 'uym$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,'bot$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41 & 'uym$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4,'top$e') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyt$',type,'uyt$': 'A_update_e_update_fun$' * 'A_update_set$' * 'E_update_bool_fun$' > 'E_update_bool_fun$').
% 48.73/7.41 tff('function_uyt$',axiom,
% 48.73/7.41 'uyt$'(fmb_'A_update_e_update_fun$'_1,'top$d','top$q') = 'top$q'
% 48.73/7.41 & 'uyt$'(fmb_'A_update_e_update_fun$'_1,'top$d',fmb_'E_update_bool_fun$'_2) = fmb_'E_update_bool_fun$'_2
% 48.73/7.41 & 'uyt$'(fmb_'A_update_e_update_fun$'_1,'top$d',fmb_'E_update_bool_fun$'_3) = fmb_'E_update_bool_fun$'_3
% 48.73/7.41 & 'uyt$'(fmb_'A_update_e_update_fun$'_1,'top$d',fmb_'E_update_bool_fun$'_4) = fmb_'E_update_bool_fun$'_4
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_2,'top$d','top$q') undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_2,'top$d',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_2,'top$d',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_2,'top$d',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_3,'top$d','top$q') undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_3,'top$d',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_3,'top$d',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_3,'top$d',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_4,'top$d','top$q') undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_4,'top$d',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_4,'top$d',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyt$'(fmb_'A_update_e_update_fun$'_4,'top$d',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$j',type,'image$j': 'A_update_c_update_fun$' * 'A_update_set$' > 'C_update_set$').
% 48.73/7.41 tff('function_image$j',axiom,
% 48.73/7.41 'image$j'(fmb_'A_update_c_update_fun$'_1,'top$d') = 'top$b'
% 48.73/7.41 % 'image$j'(fmb_'A_update_c_update_fun$'_2,'top$d') undefined in model
% 48.73/7.41 % 'image$j'(fmb_'A_update_c_update_fun$'_3,'top$d') undefined in model
% 48.73/7.41 % 'image$j'(fmb_'A_update_c_update_fun$'_4,'top$d') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$e',type,'fun_app$e': 'F_g_prod_update_e_f_g_prod_prod_update_fun$' * 'F_g_prod_update$' > 'E_f_g_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$e',axiom,
% 48.73/7.41 'fun_app$e'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1,'id_update$c') = 'id_update$'
% 48.73/7.41 & 'fun_app$e'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_2,'id_update$c') = 'id_update$'
% 48.73/7.41 & 'fun_app$e'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_3,'id_update$c') = 'id_update$'
% 48.73/7.41 & 'fun_app$e'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_4,'id_update$c') = 'id_update$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyi$',type,'uyi$': 'A_update_f_g_prod_update_fun$' * 'A_update_set$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uyi$',axiom,
% 48.73/7.41 'uyi$'(fmb_'A_update_f_g_prod_update_fun$'_1,'top$d') = 'top$n'
% 48.73/7.41 & 'uyi$'(fmb_'A_update_f_g_prod_update_fun$'_2,'top$d') = fmb_'F_g_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uyi$'(fmb_'A_update_f_g_prod_update_fun$'_3,'top$d') = 'top$n'
% 48.73/7.41 & 'uyi$'(fmb_'A_update_f_g_prod_update_fun$'_4,'top$d') = fmb_'F_g_prod_update_bool_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$aa',type,'fun_app$aa': 'A_update_e_e_prod_update_fun$' * 'A_update$' > 'E_e_prod_update$').
% 48.73/7.41 tff('function_fun_app$aa',axiom,
% 48.73/7.41 'fun_app$aa'(fmb_'A_update_e_e_prod_update_fun$'_1,'id_update$h') = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'fun_app$aa'(fmb_'A_update_e_e_prod_update_fun$'_2,'id_update$h') = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'fun_app$aa'(fmb_'A_update_e_e_prod_update_fun$'_3,'id_update$h') = fmb_'E_e_prod_update$'_2
% 48.73/7.41 & 'fun_app$aa'(fmb_'A_update_e_e_prod_update_fun$'_4,'id_update$h') = fmb_'E_e_prod_update$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_comp_update$c',type,'comp_update$c': 'B_update$' > 'B_update_b_update_fun$').
% 48.73/7.41 tff('function_comp_update$c',axiom,
% 48.73/7.41 'comp_update$c'('id_update$j') = fmb_'B_update_b_update_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$z',type,'image$z': 'A_update_f_g_prod_update_fun$' * 'A_update_set$' > 'F_g_prod_update_set$').
% 48.73/7.41 tff('function_image$z',axiom,
% 48.73/7.41 'image$z'(fmb_'A_update_f_g_prod_update_fun$'_1,'top$d') = 'top$m'
% 48.73/7.41 & 'image$z'(fmb_'A_update_f_g_prod_update_fun$'_2,'top$d') = 'top$m'
% 48.73/7.41 & 'image$z'(fmb_'A_update_f_g_prod_update_fun$'_3,'top$d') = 'top$m'
% 48.73/7.41 & 'image$z'(fmb_'A_update_f_g_prod_update_fun$'_4,'top$d') = 'top$m'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyc$',type,'uyc$': 'C_update_b_c_prod_update_fun$' * 'C_update_set$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uyc$',axiom,
% 48.73/7.41 'uyc$'(fmb_'C_update_b_c_prod_update_fun$'_1,'top$b') = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uyc$'(fmb_'C_update_b_c_prod_update_fun$'_2,'top$b') = 'top$j'
% 48.73/7.41 & 'uyc$'(fmb_'C_update_b_c_prod_update_fun$'_3,'top$b') = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uyc$'(fmb_'C_update_b_c_prod_update_fun$'_4,'top$b') = 'top$j'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxv$',type,'uxv$': 'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$' > 'E_f_g_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uxv$',axiom,
% 48.73/7.41 'uxv$'('uya$') = 'uud$'
% 48.73/7.41 & 'uxv$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_2) = 'uud$'
% 48.73/7.41 & 'uxv$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_3) = 'uud$'
% 48.73/7.41 & 'uxv$'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_update_fun$'_4) = 'uud$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$h',type,'fun_app$h': 'C_update_b_c_prod_update_fun$' * 'C_update$' > 'B_c_prod_update$').
% 48.73/7.41 tff('function_fun_app$h',axiom,
% 48.73/7.41 'fun_app$h'(fmb_'C_update_b_c_prod_update_fun$'_1,'id_update$e') = 'id_update$f'
% 48.73/7.41 & 'fun_app$h'(fmb_'C_update_b_c_prod_update_fun$'_2,'id_update$e') = 'id_update$f'
% 48.73/7.41 & 'fun_app$h'(fmb_'C_update_b_c_prod_update_fun$'_3,'id_update$e') = 'id_update$f'
% 48.73/7.41 & 'fun_app$h'(fmb_'C_update_b_c_prod_update_fun$'_4,'id_update$e') = 'id_update$f'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$u',type,'fun_app$u': 'A_update_f_update_fun$' * 'A_update$' > 'F_update$').
% 48.73/7.41 tff('function_fun_app$u',axiom,
% 48.73/7.41 'fun_app$u'(fmb_'A_update_f_update_fun$'_1,'id_update$h') = 'id_update$i'
% 48.73/7.41 % 'fun_app$u'(fmb_'A_update_f_update_fun$'_2,'id_update$h') undefined in model
% 48.73/7.41 % 'fun_app$u'(fmb_'A_update_f_update_fun$'_3,'id_update$h') undefined in model
% 48.73/7.41 % 'fun_app$u'(fmb_'A_update_f_update_fun$'_4,'id_update$h') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwv$',type,'uwv$': 'E_f_g_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$').
% 48.73/7.41 tff('function_uwv$',axiom,
% 48.73/7.41 'uwv$'('uud$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2
% 48.73/7.41 & 'uwv$'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_2
% 48.73/7.41 & 'uwv$'('uzx$') = fmb_'E_f_g_prod_prod_update_bool_fun_e_f_g_prod_prod_update_bool_fun_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ai',type,'fun_app$ai': 'A_update_a_update_fun$' * 'A_update$' > 'A_update$').
% 48.73/7.41 tff('function_fun_app$ai',axiom,
% 48.73/7.41 'fun_app$ai'(fmb_'A_update_a_update_fun$'_1,'id_update$h') = 'id_update$h'
% 48.73/7.41 & 'fun_app$ai'(fmb_'A_update_a_update_fun$'_2,'id_update$h') = 'id_update$h'
% 48.73/7.41 & 'fun_app$ai'(fmb_'A_update_a_update_fun$'_3,'id_update$h') = 'id_update$h'
% 48.73/7.41 & 'fun_app$ai'(fmb_'A_update_a_update_fun$'_4,'id_update$h') = 'id_update$h'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$an',type,'image$an': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$').
% 48.73/7.41 tff('function_image$an',axiom,
% 48.73/7.41 'image$an'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'top$o') = 'top$o'
% 48.73/7.41 & 'image$an'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2
% 48.73/7.41 % 'image$an'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'top$o') undefined in model
% 48.73/7.41 % 'image$an'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'image$an'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'top$o') undefined in model
% 48.73/7.41 % 'image$an'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'image$an'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'top$o') undefined in model
% 48.73/7.41 % 'image$an'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$q',type,'image$q': 'C_update_b_update_fun$' * 'C_update_set$' > 'B_update_set$').
% 48.73/7.41 tff('function_image$q',axiom,
% 48.73/7.41 'image$q'(fmb_'C_update_b_update_fun$'_1,'top$b') = 'top$c'
% 48.73/7.41 % 'image$q'(fmb_'C_update_b_update_fun$'_2,'top$b') undefined in model
% 48.73/7.41 % 'image$q'(fmb_'C_update_b_update_fun$'_3,'top$b') undefined in model
% 48.73/7.41 % 'image$q'(fmb_'C_update_b_update_fun$'_4,'top$b') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$p',type,'collect$p': 'E_f_g_prod_prod_update_set_bool_fun$' > 'E_f_g_prod_prod_update_set_set$').
% 48.73/7.41 tff('function_collect$p',axiom,
% 48.73/7.41 'collect$p'('top$u') = 'top$f'
% 48.73/7.41 & 'collect$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2) = fmb_'E_f_g_prod_prod_update_set_set$'_3
% 48.73/7.41 & 'collect$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3) = fmb_'E_f_g_prod_prod_update_set_set$'_2
% 48.73/7.41 & 'collect$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4) = fmb_'E_f_g_prod_prod_update_set_set$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$m',type,'collect$m': 'C_update_bool_fun$' > 'C_update_set$').
% 48.73/7.41 tff('function_collect$m',axiom,
% 48.73/7.41 'collect$m'('top$r') = 'top$b'
% 48.73/7.41 & 'collect$m'(fmb_'C_update_bool_fun$'_2) = 'top$b'
% 48.73/7.41 & 'collect$m'(fmb_'C_update_bool_fun$'_3) = 'top$b'
% 48.73/7.41 & 'collect$m'(fmb_'C_update_bool_fun$'_4) = 'top$b'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwy$',type,'uwy$': 'A_update_f_update_fun$' > 'A_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('function_uwy$',axiom,
% 48.73/7.41 'uwy$'(fmb_'A_update_f_update_fun$'_1) = fmb_'A_update_f_g_prod_update_fun$'_1
% 48.73/7.41 % 'uwy$'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwy$'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwy$'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwi$',type,'uwi$': 'A_update_e_update_fun$' > 'A_update_e_e_prod_update_fun$').
% 48.73/7.41 tff('function_uwi$',axiom,
% 48.73/7.41 'uwi$'(fmb_'A_update_e_update_fun$'_1) = fmb_'A_update_e_e_prod_update_fun$'_3
% 48.73/7.41 % 'uwi$'(fmb_'A_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uwi$'(fmb_'A_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uwi$'(fmb_'A_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzp$',type,'uzp$': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzp$',axiom,
% 48.73/7.41 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'uua$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2
% 48.73/7.41 & 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'uua$') undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'uua$') undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'uua$') undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzp$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxx$',type,'uxx$': 'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$' > 'A_b_c_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uxx$',axiom,
% 48.73/7.41 'uxx$'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_1) = fmb_'A_b_c_prod_prod_update_bool_fun$'_4
% 48.73/7.41 % 'uxx$'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uxx$'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uxx$'(fmb_'E_f_g_prod_prod_update_a_b_c_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$k',type,'tensor_update$k': 'E_update$' * 'D_update$' > 'E_d_prod_update$').
% 48.73/7.41 tff('function_tensor_update$k',axiom,
% 48.73/7.41 'tensor_update$k'('id_update$g','id_update$d') = fmb_'E_d_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_less_eq$',type,'less_eq$': 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_set_bool_fun$').
% 48.73/7.41 tff('function_less_eq$',axiom,
% 48.73/7.41 'less_eq$'('bot$') = 'top$u'
% 48.73/7.41 & 'less_eq$'('top$e') = fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register_tensor$t',type,'register_tensor$t': 'B_update_a_update_fun$' * 'C_update_b_c_prod_update_fun$' > 'B_c_prod_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_register_tensor$t',axiom,
% 48.73/7.41 'register_tensor$t'(fmb_'B_update_a_update_fun$'_1,fmb_'C_update_b_c_prod_update_fun$'_1) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$t'(fmb_'B_update_a_update_fun$'_1,fmb_'C_update_b_c_prod_update_fun$'_2) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$t'(fmb_'B_update_a_update_fun$'_1,fmb_'C_update_b_c_prod_update_fun$'_3) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 & 'register_tensor$t'(fmb_'B_update_a_update_fun$'_1,fmb_'C_update_b_c_prod_update_fun$'_4) = fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_2,fmb_'C_update_b_c_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_2,fmb_'C_update_b_c_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_2,fmb_'C_update_b_c_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_2,fmb_'C_update_b_c_prod_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_3,fmb_'C_update_b_c_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_3,fmb_'C_update_b_c_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_3,fmb_'C_update_b_c_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_3,fmb_'C_update_b_c_prod_update_fun$'_4) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_4,fmb_'C_update_b_c_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_4,fmb_'C_update_b_c_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_4,fmb_'C_update_b_c_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register_tensor$t'(fmb_'B_update_a_update_fun$'_4,fmb_'C_update_b_c_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_inf$a',type,'inf$a': 'E_f_g_prod_prod_update_set_set$' > 'E_f_g_prod_prod_update_set$').
% 48.73/7.41 tff('function_inf$a',axiom,
% 48.73/7.41 'inf$a'('top$f') = 'bot$'
% 48.73/7.41 & 'inf$a'(fmb_'E_f_g_prod_prod_update_set_set$'_2) = 'bot$'
% 48.73/7.41 & 'inf$a'(fmb_'E_f_g_prod_prod_update_set_set$'_3) = 'bot$'
% 48.73/7.41 & 'inf$a'(fmb_'E_f_g_prod_prod_update_set_set$'_4) = 'bot$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$b',type,'fun_app$b': 'F_update_f_g_prod_update_fun$' * 'F_update$' > 'F_g_prod_update$').
% 48.73/7.41 tff('function_fun_app$b',axiom,
% 48.73/7.41 'fun_app$b'('uxk$','id_update$i') = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'('uxk$',fmb_'F_update$'_2) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'('uxk$',fmb_'F_update$'_3) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'('uxk$',fmb_'F_update$'_4) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_2,'id_update$i') = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_2,fmb_'F_update$'_2) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_2,fmb_'F_update$'_3) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_2,fmb_'F_update$'_4) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_3,'id_update$i') = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_3,fmb_'F_update$'_2) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_3,fmb_'F_update$'_3) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_3,fmb_'F_update$'_4) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_4,'id_update$i') = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_4,fmb_'F_update$'_2) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_4,fmb_'F_update$'_3) = 'id_update$c'
% 48.73/7.41 & 'fun_app$b'(fmb_'F_update_f_g_prod_update_fun$'_4,fmb_'F_update$'_4) = 'id_update$c'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uum$',type,'uum$': 'F_update_set$' * 'F_update_set$' > 'F_f_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uum$',axiom,
% 48.73/7.41 'uum$'('top$','top$') = fmb_'F_f_prod_update_bool_fun$'_1
% 48.73/7.41 % 'uum$'('top$',fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'uum$'('top$',fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'uum$'('top$',fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_2,'top$') undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_2,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_2,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_2,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_3,'top$') undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_3,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_3,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_3,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_4,'top$') undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_4,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_4,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'uum$'(fmb_'F_update_set$'_4,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_collect$n',type,'collect$n': 'B_update_bool_fun$' > 'B_update_set$').
% 48.73/7.41 tff('function_collect$n',axiom,
% 48.73/7.41 'collect$n'('top$s') = 'top$c'
% 48.73/7.41 & 'collect$n'(fmb_'B_update_bool_fun$'_2) = 'top$c'
% 48.73/7.41 & 'collect$n'(fmb_'B_update_bool_fun$'_3) = 'top$c'
% 48.73/7.41 & 'collect$n'(fmb_'B_update_bool_fun$'_4) = 'top$c'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyf$',type,'uyf$': 'E_update_f_g_prod_update_fun$' * 'E_update_set$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uyf$',axiom,
% 48.73/7.41 'uyf$'(fmb_'E_update_f_g_prod_update_fun$'_1,'top$a') = 'top$n'
% 48.73/7.41 % 'uyf$'(fmb_'E_update_f_g_prod_update_fun$'_2,'top$a') undefined in model
% 48.73/7.41 % 'uyf$'(fmb_'E_update_f_g_prod_update_fun$'_3,'top$a') undefined in model
% 48.73/7.41 % 'uyf$'(fmb_'E_update_f_g_prod_update_fun$'_4,'top$a') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_inf$c',type,'inf$c': 'E_f_g_prod_prod_update_set$' > 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$').
% 48.73/7.41 tff('function_inf$c',axiom,
% 48.73/7.41 'inf$c'('bot$') = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4
% 48.73/7.41 & 'inf$c'('top$e') = fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxp$',type,'uxp$': 'C_update$' > 'C_update_c_update_fun$').
% 48.73/7.41 tff('function_uxp$',axiom,
% 48.73/7.41 'uxp$'('id_update$e') = fmb_'C_update_c_update_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_tensor_update$b',type,'tensor_update$b': 'F_update$' > 'G_update_f_g_prod_update_fun$').
% 48.73/7.41 tff('function_tensor_update$b',axiom,
% 48.73/7.41 'tensor_update$b'('id_update$i') = fmb_'G_update_f_g_prod_update_fun$'_1
% 48.73/7.41 & 'tensor_update$b'(fmb_'F_update$'_2) = fmb_'G_update_f_g_prod_update_fun$'_1
% 48.73/7.41 & 'tensor_update$b'(fmb_'F_update$'_3) = fmb_'G_update_f_g_prod_update_fun$'_1
% 48.73/7.41 & 'tensor_update$b'(fmb_'F_update$'_4) = fmb_'G_update_f_g_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzm$',type,'uzm$': 'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'B_c_prod_update_bool_fun$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uzm$',axiom,
% 48.73/7.41 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'uug$') = 'uua$'
% 48.73/7.41 & 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'top$j') = 'uua$'
% 48.73/7.41 & 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'uvs$') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,fmb_'B_c_prod_update_bool_fun$'_4) = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'uug$') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'top$j') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'uvs$') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,fmb_'B_c_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'uug$') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'top$j') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'uvs$') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,fmb_'B_c_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'uug$') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'top$j') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'uvs$') undefined in model
% 48.73/7.41 % 'uzm$'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,fmb_'B_c_prod_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uux$',type,'uux$': 'C_update$' > 'B_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('function_uux$',axiom,
% 48.73/7.41 'uux$'('id_update$e') = 'uxm$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cn',type,'fun_app$cn': 'C_update_d_update_fun$' * 'C_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$cn',axiom,
% 48.73/7.41 'fun_app$cn'(fmb_'C_update_d_update_fun$'_1,'id_update$e') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cn'(fmb_'C_update_d_update_fun$'_2,'id_update$e') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cn'(fmb_'C_update_d_update_fun$'_3,'id_update$e') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cn'(fmb_'C_update_d_update_fun$'_4,'id_update$e') = 'id_update$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuq$',type,'uuq$': 'F_update_set$' * 'A_update_set$' > 'F_a_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uuq$',axiom,
% 48.73/7.41 'uuq$'('top$','top$d') = fmb_'F_a_prod_update_bool_fun$'_2
% 48.73/7.41 % 'uuq$'(fmb_'F_update_set$'_2,'top$d') undefined in model
% 48.73/7.41 % 'uuq$'(fmb_'F_update_set$'_3,'top$d') undefined in model
% 48.73/7.41 % 'uuq$'(fmb_'F_update_set$'_4,'top$d') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$cl',type,'fun_app$cl': 'F_update_d_update_fun$' * 'F_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$cl',axiom,
% 48.73/7.41 'fun_app$cl'(fmb_'F_update_d_update_fun$'_1,'id_update$i') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_1,fmb_'F_update$'_2) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_1,fmb_'F_update$'_3) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_1,fmb_'F_update$'_4) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_2,'id_update$i') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_2,fmb_'F_update$'_2) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_2,fmb_'F_update$'_3) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_2,fmb_'F_update$'_4) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_3,'id_update$i') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_3,fmb_'F_update$'_2) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_3,fmb_'F_update$'_3) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_3,fmb_'F_update$'_4) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_4,'id_update$i') = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_4,fmb_'F_update$'_2) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_4,fmb_'F_update$'_3) = 'id_update$d'
% 48.73/7.41 & 'fun_app$cl'(fmb_'F_update_d_update_fun$'_4,fmb_'F_update$'_4) = 'id_update$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uvo$',type,'uvo$': 'B_c_prod_update_set$' > 'B_c_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uvo$',axiom,
% 48.73/7.41 'uvo$'('top$i') = fmb_'B_c_prod_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$i',type,'fun_app$i': 'A_update_a_b_c_prod_prod_update_fun$' * 'A_update$' > 'A_b_c_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$i',axiom,
% 48.73/7.41 'fun_app$i'('uxl$','id_update$h') = 'id_update$a'
% 48.73/7.41 & 'fun_app$i'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_2,'id_update$h') = 'id_update$a'
% 48.73/7.41 & 'fun_app$i'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_3,'id_update$h') = 'id_update$a'
% 48.73/7.41 & 'fun_app$i'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_4,'id_update$h') = 'id_update$a'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_image$f',type,'image$f': 'C_update_c_update_fun$' * 'C_update_set$' > 'C_update_set$').
% 48.73/7.41 tff('function_image$f',axiom,
% 48.73/7.41 'image$f'(fmb_'C_update_c_update_fun$'_1,'top$b') = 'top$b'
% 48.73/7.41 & 'image$f'(fmb_'C_update_c_update_fun$'_2,'top$b') = 'top$b'
% 48.73/7.41 & 'image$f'(fmb_'C_update_c_update_fun$'_3,'top$b') = 'top$b'
% 48.73/7.41 & 'image$f'(fmb_'C_update_c_update_fun$'_4,'top$b') = 'top$b'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ab',type,'fun_app$ab': 'A_update_e_d_prod_update_fun$' * 'A_update$' > 'E_d_prod_update$').
% 48.73/7.41 tff('function_fun_app$ab',axiom,
% 48.73/7.41 'fun_app$ab'(fmb_'A_update_e_d_prod_update_fun$'_1,'id_update$h') = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'fun_app$ab'(fmb_'A_update_e_d_prod_update_fun$'_2,'id_update$h') = fmb_'E_d_prod_update$'_4
% 48.73/7.41 & 'fun_app$ab'(fmb_'A_update_e_d_prod_update_fun$'_3,'id_update$h') = fmb_'E_d_prod_update$'_2
% 48.73/7.41 & 'fun_app$ab'(fmb_'A_update_e_d_prod_update_fun$'_4,'id_update$h') = fmb_'E_d_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwt$',type,'uwt$': 'F_g_prod_update_bool_fun$' * 'F_g_prod_update_bool_fun$' > 'F_g_prod_update_bool_fun$').
% 48.73/7.41 tff('function_uwt$',axiom,
% 48.73/7.41 'uwt$'('top$n','top$n') = 'top$n'
% 48.73/7.41 & 'uwt$'('top$n','uvu$') = 'top$n'
% 48.73/7.41 & 'uwt$'('top$n',fmb_'F_g_prod_update_bool_fun$'_3) = fmb_'F_g_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwt$'('top$n',fmb_'F_g_prod_update_bool_fun$'_4) = 'top$n'
% 48.73/7.41 & 'uwt$'('uvu$','top$n') = 'uvu$'
% 48.73/7.41 & 'uwt$'('uvu$','uvu$') = 'uvu$'
% 48.73/7.41 & 'uwt$'('uvu$',fmb_'F_g_prod_update_bool_fun$'_3) = 'uvu$'
% 48.73/7.41 & 'uwt$'('uvu$',fmb_'F_g_prod_update_bool_fun$'_4) = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uwt$'(fmb_'F_g_prod_update_bool_fun$'_3,'top$n') = 'top$n'
% 48.73/7.41 & 'uwt$'(fmb_'F_g_prod_update_bool_fun$'_3,'uvu$') = fmb_'F_g_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwt$'(fmb_'F_g_prod_update_bool_fun$'_3,fmb_'F_g_prod_update_bool_fun$'_3) = 'uvu$'
% 48.73/7.41 & 'uwt$'(fmb_'F_g_prod_update_bool_fun$'_3,fmb_'F_g_prod_update_bool_fun$'_4) = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uwt$'(fmb_'F_g_prod_update_bool_fun$'_4,'top$n') = fmb_'F_g_prod_update_bool_fun$'_4
% 48.73/7.41 & 'uwt$'(fmb_'F_g_prod_update_bool_fun$'_4,'uvu$') = 'uvu$'
% 48.73/7.41 & 'uwt$'(fmb_'F_g_prod_update_bool_fun$'_4,fmb_'F_g_prod_update_bool_fun$'_3) = fmb_'F_g_prod_update_bool_fun$'_3
% 48.73/7.41 & 'uwt$'(fmb_'F_g_prod_update_bool_fun$'_4,fmb_'F_g_prod_update_bool_fun$'_4) = 'uvu$'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uyu$',type,'uyu$': 'A_update_e_update_fun$' * 'A_update_set$' * 'E_update_bool_fun$' > 'A_update_bool_fun$').
% 48.73/7.41 tff('function_uyu$',axiom,
% 48.73/7.41 'uyu$'(fmb_'A_update_e_update_fun$'_1,'top$d','top$q') = 'top$t'
% 48.73/7.41 & 'uyu$'(fmb_'A_update_e_update_fun$'_1,'top$d',fmb_'E_update_bool_fun$'_2) = 'top$t'
% 48.73/7.41 & 'uyu$'(fmb_'A_update_e_update_fun$'_1,'top$d',fmb_'E_update_bool_fun$'_3) = 'top$t'
% 48.73/7.41 & 'uyu$'(fmb_'A_update_e_update_fun$'_1,'top$d',fmb_'E_update_bool_fun$'_4) = 'top$t'
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_2,'top$d','top$q') undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_2,'top$d',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_2,'top$d',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_2,'top$d',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_3,'top$d','top$q') undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_3,'top$d',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_3,'top$d',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_3,'top$d',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_4,'top$d','top$q') undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_4,'top$d',fmb_'E_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_4,'top$d',fmb_'E_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uyu$'(fmb_'A_update_e_update_fun$'_4,'top$d',fmb_'E_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxr$',type,'uxr$': 'A_update$' > 'A_update_a_update_fun$').
% 48.73/7.41 tff('function_uxr$',axiom,
% 48.73/7.41 'uxr$'('id_update$h') = fmb_'A_update_a_update_fun$'_3
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$g',type,'fun_app$g': 'B_update_b_c_prod_update_fun$' * 'B_update$' > 'B_c_prod_update$').
% 48.73/7.41 tff('function_fun_app$g',axiom,
% 48.73/7.41 'fun_app$g'('uxm$','id_update$j') = 'id_update$f'
% 48.73/7.41 & 'fun_app$g'(fmb_'B_update_b_c_prod_update_fun$'_2,'id_update$j') = 'id_update$f'
% 48.73/7.41 & 'fun_app$g'(fmb_'B_update_b_c_prod_update_fun$'_3,'id_update$j') = 'id_update$f'
% 48.73/7.41 & 'fun_app$g'(fmb_'B_update_b_c_prod_update_fun$'_4,'id_update$j') = 'id_update$f'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uzc$',type,'uzc$': 'A_update_c_update_fun$' * 'A_update_set$' * 'C_update_bool_fun$' > 'A_update_bool_fun$').
% 48.73/7.41 tff('function_uzc$',axiom,
% 48.73/7.41 'uzc$'(fmb_'A_update_c_update_fun$'_1,'top$d','top$r') = 'top$t'
% 48.73/7.41 & 'uzc$'(fmb_'A_update_c_update_fun$'_1,'top$d',fmb_'C_update_bool_fun$'_2) = 'top$t'
% 48.73/7.41 & 'uzc$'(fmb_'A_update_c_update_fun$'_1,'top$d',fmb_'C_update_bool_fun$'_3) = 'top$t'
% 48.73/7.41 & 'uzc$'(fmb_'A_update_c_update_fun$'_1,'top$d',fmb_'C_update_bool_fun$'_4) = 'top$t'
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_2,'top$d','top$r') undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_2,'top$d',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_2,'top$d',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_2,'top$d',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_3,'top$d','top$r') undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_3,'top$d',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_3,'top$d',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_3,'top$d',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_4,'top$d','top$r') undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_4,'top$d',fmb_'C_update_bool_fun$'_2) undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_4,'top$d',fmb_'C_update_bool_fun$'_3) undefined in model
% 48.73/7.41 % 'uzc$'(fmb_'A_update_c_update_fun$'_4,'top$d',fmb_'C_update_bool_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ao',type,'fun_app$ao': 'D_update_d_update_fun$' * 'D_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$ao',axiom,
% 48.73/7.41 'fun_app$ao'(fmb_'D_update_d_update_fun$'_1,'id_update$d') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ao'(fmb_'D_update_d_update_fun$'_2,'id_update$d') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ao'(fmb_'D_update_d_update_fun$'_3,'id_update$d') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ao'(fmb_'D_update_d_update_fun$'_4,'id_update$d') = 'id_update$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uxd$',type,'uxd$': 'B_c_prod_update_c_update_fun$' > 'B_c_prod_update_b_c_prod_update_fun$').
% 48.73/7.41 tff('function_uxd$',axiom,
% 48.73/7.41 'uxd$'(fmb_'B_c_prod_update_c_update_fun$'_1) = fmb_'B_c_prod_update_b_c_prod_update_fun$'_3
% 48.73/7.41 % 'uxd$'(fmb_'B_c_prod_update_c_update_fun$'_2) undefined in model
% 48.73/7.41 % 'uxd$'(fmb_'B_c_prod_update_c_update_fun$'_3) undefined in model
% 48.73/7.41 % 'uxd$'(fmb_'B_c_prod_update_c_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$aj',type,'fun_app$aj': 'A_update_a_e_prod_update_fun$' * 'A_update$' > 'A_e_prod_update$').
% 48.73/7.41 tff('function_fun_app$aj',axiom,
% 48.73/7.41 'fun_app$aj'(fmb_'A_update_a_e_prod_update_fun$'_1,'id_update$h') = fmb_'A_e_prod_update$'_2
% 48.73/7.41 & 'fun_app$aj'(fmb_'A_update_a_e_prod_update_fun$'_2,'id_update$h') = fmb_'A_e_prod_update$'_2
% 48.73/7.41 & 'fun_app$aj'(fmb_'A_update_a_e_prod_update_fun$'_3,'id_update$h') = fmb_'A_e_prod_update$'_3
% 48.73/7.41 & 'fun_app$aj'(fmb_'A_update_a_e_prod_update_fun$'_4,'id_update$h') = fmb_'A_e_prod_update$'_2
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ad',type,'fun_app$ad': 'A_update_d_update_fun$' * 'A_update$' > 'D_update$').
% 48.73/7.41 tff('function_fun_app$ad',axiom,
% 48.73/7.41 'fun_app$ad'(fmb_'A_update_d_update_fun$'_1,'id_update$h') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ad'(fmb_'A_update_d_update_fun$'_2,'id_update$h') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ad'(fmb_'A_update_d_update_fun$'_3,'id_update$h') = 'id_update$d'
% 48.73/7.41 & 'fun_app$ad'(fmb_'A_update_d_update_fun$'_4,'id_update$h') = 'id_update$d'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uuz$',type,'uuz$': 'C_update_set$' * 'C_update_bool_fun$' > 'C_update_bool_fun$').
% 48.73/7.41 tff('function_uuz$',axiom,
% 48.73/7.41 'uuz$'('top$b','top$r') = 'top$r'
% 48.73/7.41 & 'uuz$'('top$b',fmb_'C_update_bool_fun$'_2) = fmb_'C_update_bool_fun$'_2
% 48.73/7.41 & 'uuz$'('top$b',fmb_'C_update_bool_fun$'_3) = fmb_'C_update_bool_fun$'_3
% 48.73/7.41 & 'uuz$'('top$b',fmb_'C_update_bool_fun$'_4) = fmb_'C_update_bool_fun$'_4
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_uwx$',type,'uwx$': 'C_update_b_c_prod_update_fun$' > 'C_update_a_b_c_prod_prod_update_fun$').
% 48.73/7.41 tff('function_uwx$',axiom,
% 48.73/7.41 'uwx$'(fmb_'C_update_b_c_prod_update_fun$'_1) = fmb_'C_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41 & 'uwx$'(fmb_'C_update_b_c_prod_update_fun$'_2) = fmb_'C_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41 & 'uwx$'(fmb_'C_update_b_c_prod_update_fun$'_3) = fmb_'C_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41 & 'uwx$'(fmb_'C_update_b_c_prod_update_fun$'_4) = fmb_'C_update_a_b_c_prod_prod_update_fun$'_1
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ax',type,'fun_app$ax': 'B_c_prod_update_b_c_prod_update_fun$' * 'B_c_prod_update$' > 'B_c_prod_update$').
% 48.73/7.41 tff('function_fun_app$ax',axiom,
% 48.73/7.41 'fun_app$ax'(fmb_'B_c_prod_update_b_c_prod_update_fun$'_1,'id_update$f') = 'id_update$f'
% 48.73/7.41 & 'fun_app$ax'(fmb_'B_c_prod_update_b_c_prod_update_fun$'_2,'id_update$f') = 'id_update$f'
% 48.73/7.41 & 'fun_app$ax'(fmb_'B_c_prod_update_b_c_prod_update_fun$'_3,'id_update$f') = 'id_update$f'
% 48.73/7.41 & 'fun_app$ax'(fmb_'B_c_prod_update_b_c_prod_update_fun$'_4,'id_update$f') = 'id_update$f'
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bt',type,'fun_app$bt': 'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' * 'B_c_prod_update$' > 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$').
% 48.73/7.41 tff('function_fun_app$bt',axiom,
% 48.73/7.41 'fun_app$bt'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_1,'id_update$f') = fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1
% 48.73/7.41 % 'fun_app$bt'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2,'id_update$f') undefined in model
% 48.73/7.41 % 'fun_app$bt'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3,'id_update$f') undefined in model
% 48.73/7.41 % 'fun_app$bt'(fmb_'B_c_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4,'id_update$f') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_top$h',type,'top$h': $o).tff('top$h_definition',axiom,'top$h').
% 48.73/7.41 tff('declare_register$bo',type,'register$bo': 'B_c_prod_update_a_b_c_prod_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bo',axiom,
% 48.73/7.41 % 'register$bo'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$bo'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bo'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bo'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$j',type,'separating$j': 'D_itself$' * 'C_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$j',axiom,
% 48.73/7.41 'separating$j'('type$','top$b')
% 48.73/7.41 & ~'separating$j'(fmb_'D_itself$'_2,'top$b')
% 48.73/7.41 % 'separating$j'(fmb_'D_itself$'_3,'top$b') undefined in model
% 48.73/7.41 % 'separating$j'(fmb_'D_itself$'_4,'top$b') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$',type,'member$': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$' > $o ).
% 48.73/7.41 tff('predicate_member$',axiom,
% 48.73/7.41 'member$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1,'top$o')
% 48.73/7.41 & ~'member$'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$ce',type,'register$ce': 'C_update_e_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$ce',axiom,
% 48.73/7.41 ~'register$ce'(fmb_'C_update_e_update_fun$'_1)
% 48.73/7.41 & ~'register$ce'(fmb_'C_update_e_update_fun$'_2)
% 48.73/7.41 % 'register$ce'(fmb_'C_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$ce'(fmb_'C_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$bn',type,'fun_app$bn': 'Bool_bool_fun$' * tlbool > $o ).
% 48.73/7.41 tff('predicate_fun_app$bn',axiom,
% 48.73/7.41 'fun_app$bn'(fmb_'Bool_bool_fun$'_1,tltrue)
% 48.73/7.41 & 'fun_app$bn'(fmb_'Bool_bool_fun$'_1,tlfalse)
% 48.73/7.41 & 'fun_app$bn'(fmb_'Bool_bool_fun$'_2,tltrue)
% 48.73/7.41 & ~'fun_app$bn'(fmb_'Bool_bool_fun$'_2,tlfalse)
% 48.73/7.41 & ~'fun_app$bn'(fmb_'Bool_bool_fun$'_3,tltrue)
% 48.73/7.41 & 'fun_app$bn'(fmb_'Bool_bool_fun$'_3,tlfalse)
% 48.73/7.41 & ~'fun_app$bn'(fmb_'Bool_bool_fun$'_4,tltrue)
% 48.73/7.41 & ~'fun_app$bn'(fmb_'Bool_bool_fun$'_4,tlfalse)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$q',type,'register$q': 'C_update_c_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$q',axiom,
% 48.73/7.41 % 'register$q'(fmb_'C_update_c_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$q'(fmb_'C_update_c_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$q'(fmb_'C_update_c_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$q'(fmb_'C_update_c_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$h',type,'member$h': 'A_update$' * 'A_update_set$' > $o ).
% 48.73/7.41 tff('predicate_member$h',axiom,
% 48.73/7.41 'member$h'('id_update$h','top$d')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$u',type,'separating$u': 'E_f_g_prod_prod_itself$' * 'E_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$u',axiom,
% 48.73/7.41 'separating$u'('type$c','top$a')
% 48.73/7.41 & 'separating$u'(fmb_'E_f_g_prod_prod_itself$'_2,'top$a')
% 48.73/7.41 & 'separating$u'(fmb_'E_f_g_prod_prod_itself$'_3,'top$a')
% 48.73/7.41 & 'separating$u'(fmb_'E_f_g_prod_prod_itself$'_4,'top$a')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$cb',type,'register$cb': 'G_update_d_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$cb',axiom,
% 48.73/7.41 % 'register$cb'(fmb_'G_update_d_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$cb'(fmb_'G_update_d_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$cb'(fmb_'G_update_d_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$cb'(fmb_'G_update_d_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$bn',type,'register$bn': 'F_g_prod_update_e_f_g_prod_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bn',axiom,
% 48.73/7.41 % 'register$bn'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$bn'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bn'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bn'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$j',type,'member$j': 'F_update$' * 'F_update_set$' > $o ).
% 48.73/7.41 tff('predicate_member$j',axiom,
% 48.73/7.41 ~'member$j'('id_update$i','top$')
% 48.73/7.41 % 'member$j'('id_update$i',fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'member$j'('id_update$i',fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'member$j'('id_update$i',fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 & 'member$j'(fmb_'F_update$'_2,'top$')
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_2,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_2,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_2,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 & ~'member$j'(fmb_'F_update$'_3,'top$')
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_3,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_3,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_3,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 & ~'member$j'(fmb_'F_update$'_4,'top$')
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_4,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_4,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'member$j'(fmb_'F_update$'_4,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$aj',type,'register$aj': 'A_a_prod_update_e_d_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$aj',axiom,
% 48.73/7.41 % 'register$aj'(fmb_'A_a_prod_update_e_d_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$aj'(fmb_'A_a_prod_update_e_d_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$aj'(fmb_'A_a_prod_update_e_d_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$aj'(fmb_'A_a_prod_update_e_d_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$bl',type,'register$bl': 'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bl',axiom,
% 48.73/7.41 % 'register$bl'('uxh$') undefined in model
% 48.73/7.41 % 'register$bl'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bl'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bl'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_sup$',type,'sup$': 'Bool_set$' > $o ).
% 48.73/7.41 tff('predicate_sup$',axiom,
% 48.73/7.41 'sup$'(fmb_'Bool_set$'_1)
% 48.73/7.41 & ~'sup$'(fmb_'Bool_set$'_2)
% 48.73/7.41 & 'sup$'(fmb_'Bool_set$'_3)
% 48.73/7.41 & ~'sup$'(fmb_'Bool_set$'_4)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_preregister$k',type,'preregister$k': 'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_preregister$k',axiom,
% 48.73/7.41 % 'preregister$k'('uxh$') undefined in model
% 48.73/7.41 % 'preregister$k'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'preregister$k'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'preregister$k'(fmb_'A_b_c_prod_prod_update_a_b_c_prod_prod_a_b_c_prod_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$l',type,'fun_app$l': 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$' * 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$' > $o ).
% 48.73/7.41 tff('predicate_fun_app$l',axiom,
% 48.73/7.41 'fun_app$l'('uub$',fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1)
% 48.73/7.41 & ~'fun_app$l'('uub$',fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2)
% 48.73/7.41 & ~'fun_app$l'('uub$',fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3)
% 48.73/7.41 & ~'fun_app$l'('uub$',fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4)
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_1) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_2) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_3) undefined in model
% 48.73/7.41 % 'fun_app$l'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_bool_fun$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$t',type,'register$t': 'E_update_b_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$t',axiom,
% 48.73/7.41 % 'register$t'(fmb_'E_update_b_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$t'(fmb_'E_update_b_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$t'(fmb_'E_update_b_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$t'(fmb_'E_update_b_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_preregister$t',type,'preregister$t': 'A_update_b_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_preregister$t',axiom,
% 48.73/7.41 % 'preregister$t'(fmb_'A_update_b_update_fun$'_1) undefined in model
% 48.73/7.41 % 'preregister$t'(fmb_'A_update_b_update_fun$'_2) undefined in model
% 48.73/7.41 % 'preregister$t'(fmb_'A_update_b_update_fun$'_3) undefined in model
% 48.73/7.41 % 'preregister$t'(fmb_'A_update_b_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$e',type,'separating$e': 'D_itself$' * 'A_b_c_prod_prod_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$e',axiom,
% 48.73/7.41 % 'separating$e'('type$','top$k') undefined in model
% 48.73/7.41 % 'separating$e'(fmb_'D_itself$'_2,'top$k') undefined in model
% 48.73/7.41 % 'separating$e'(fmb_'D_itself$'_3,'top$k') undefined in model
% 48.73/7.41 % 'separating$e'(fmb_'D_itself$'_4,'top$k') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$ai',type,'register$ai': 'A_a_prod_update_e_e_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$ai',axiom,
% 48.73/7.41 % 'register$ai'(fmb_'A_a_prod_update_e_e_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$ai'(fmb_'A_a_prod_update_e_e_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$ai'(fmb_'A_a_prod_update_e_e_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$ai'(fmb_'A_a_prod_update_e_e_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$o',type,'separating$o': 'D_itself$' * 'F_c_prod_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$o',axiom,
% 48.73/7.41 % 'separating$o'('type$',fmb_'F_c_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$o'('type$',fmb_'F_c_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$o'('type$',fmb_'F_c_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$o'('type$',fmb_'F_c_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_2,fmb_'F_c_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_2,fmb_'F_c_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_2,fmb_'F_c_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_2,fmb_'F_c_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_3,fmb_'F_c_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_3,fmb_'F_c_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_3,fmb_'F_c_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_3,fmb_'F_c_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_4,fmb_'F_c_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_4,fmb_'F_c_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_4,fmb_'F_c_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$o'(fmb_'D_itself$'_4,fmb_'F_c_prod_update_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$o',type,'fun_app$o': 'D_d_prod_update_bool_fun$' * 'D_d_prod_update$' > $o ).
% 48.73/7.41 tff('predicate_fun_app$o',axiom,
% 48.73/7.41 'fun_app$o'('uuc$',fmb_'D_d_prod_update$'_1)
% 48.73/7.41 & ~'fun_app$o'('uuc$',fmb_'D_d_prod_update$'_2)
% 48.73/7.41 & ~'fun_app$o'('uuc$',fmb_'D_d_prod_update$'_3)
% 48.73/7.41 & ~'fun_app$o'('uuc$',fmb_'D_d_prod_update$'_4)
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_2,fmb_'D_d_prod_update$'_1) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_2,fmb_'D_d_prod_update$'_2) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_2,fmb_'D_d_prod_update$'_3) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_2,fmb_'D_d_prod_update$'_4) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_3,fmb_'D_d_prod_update$'_1) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_3,fmb_'D_d_prod_update$'_2) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_3,fmb_'D_d_prod_update$'_3) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_3,fmb_'D_d_prod_update$'_4) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_4,fmb_'D_d_prod_update$'_1) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_4,fmb_'D_d_prod_update$'_2) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_4,fmb_'D_d_prod_update$'_3) undefined in model
% 48.73/7.41 % 'fun_app$o'(fmb_'D_d_prod_update_bool_fun$'_4,fmb_'D_d_prod_update$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_preregister$b',type,'preregister$b': 'E_update_d_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_preregister$b',axiom,
% 48.73/7.41 ~'preregister$b'(fmb_'E_update_d_update_fun$'_1)
% 48.73/7.41 & ~'preregister$b'(fmb_'E_update_d_update_fun$'_2)
% 48.73/7.41 & ~'preregister$b'(fmb_'E_update_d_update_fun$'_3)
% 48.73/7.41 & ~'preregister$b'(fmb_'E_update_d_update_fun$'_4)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$e',type,'member$e': 'E_update$' * 'E_update_set$' > $o ).
% 48.73/7.41 tff('predicate_member$e',axiom,
% 48.73/7.41 'member$e'('id_update$g','top$a')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$aa',type,'register$aa': 'B_c_prod_update_c_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$aa',axiom,
% 48.73/7.41 % 'register$aa'(fmb_'B_c_prod_update_c_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$aa'(fmb_'B_c_prod_update_c_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$aa'(fmb_'B_c_prod_update_c_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$aa'(fmb_'B_c_prod_update_c_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$l',type,'member$l': 'E_f_g_prod_prod_update_bool_fun$' * 'E_f_g_prod_prod_update_bool_fun_set$' > $o ).
% 48.73/7.41 tff('predicate_member$l',axiom,
% 48.73/7.41 % 'member$l'('uud$','top$v') undefined in model
% 48.73/7.41 % 'member$l'('uud$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) undefined in model
% 48.73/7.41 % 'member$l'('uud$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) undefined in model
% 48.73/7.41 % 'member$l'('uud$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) undefined in model
% 48.73/7.41 % 'member$l'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2,'top$v') undefined in model
% 48.73/7.41 % 'member$l'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) undefined in model
% 48.73/7.41 % 'member$l'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) undefined in model
% 48.73/7.41 % 'member$l'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) undefined in model
% 48.73/7.41 % 'member$l'('uzx$','top$v') undefined in model
% 48.73/7.41 % 'member$l'('uzx$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2) undefined in model
% 48.73/7.41 % 'member$l'('uzx$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3) undefined in model
% 48.73/7.41 % 'member$l'('uzx$',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_preregister$w',type,'preregister$w': 'D_update_d_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_preregister$w',axiom,
% 48.73/7.41 % 'preregister$w'(fmb_'D_update_d_update_fun$'_1) undefined in model
% 48.73/7.41 % 'preregister$w'(fmb_'D_update_d_update_fun$'_2) undefined in model
% 48.73/7.41 % 'preregister$w'(fmb_'D_update_d_update_fun$'_3) undefined in model
% 48.73/7.41 % 'preregister$w'(fmb_'D_update_d_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$bu',type,'register$bu': 'A_a_prod_update_d_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bu',axiom,
% 48.73/7.41 % 'register$bu'(fmb_'A_a_prod_update_d_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$bu'(fmb_'A_a_prod_update_d_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bu'(fmb_'A_a_prod_update_d_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bu'(fmb_'A_a_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$aq',type,'register$aq': 'A_update_d_f_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$aq',axiom,
% 48.73/7.41 % 'register$aq'(fmb_'A_update_d_f_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$aq'(fmb_'A_update_d_f_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$aq'(fmb_'A_update_d_f_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$aq'(fmb_'A_update_d_f_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$f',type,'member$f': 'C_update$' * 'C_update_set$' > $o ).
% 48.73/7.41 tff('predicate_member$f',axiom,
% 48.73/7.41 'member$f'('id_update$e','top$b')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$q',type,'separating$q': 'D_itself$' * 'F_a_prod_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$q',axiom,
% 48.73/7.41 % 'separating$q'('type$',fmb_'F_a_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$q'('type$',fmb_'F_a_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$q'('type$',fmb_'F_a_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$q'('type$',fmb_'F_a_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_2,fmb_'F_a_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_2,fmb_'F_a_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_2,fmb_'F_a_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_2,fmb_'F_a_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_3,fmb_'F_a_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_3,fmb_'F_a_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_3,fmb_'F_a_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_3,fmb_'F_a_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_4,fmb_'F_a_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_4,fmb_'F_a_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_4,fmb_'F_a_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$q'(fmb_'D_itself$'_4,fmb_'F_a_prod_update_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$z',type,'register$z': 'B_c_prod_update_g_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$z',axiom,
% 48.73/7.41 % 'register$z'(fmb_'B_c_prod_update_g_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$z'(fmb_'B_c_prod_update_g_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$z'(fmb_'B_c_prod_update_g_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$z'(fmb_'B_c_prod_update_g_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$n',type,'separating$n': 'D_itself$' * 'F_e_prod_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$n',axiom,
% 48.73/7.41 % 'separating$n'('type$',fmb_'F_e_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$n'('type$',fmb_'F_e_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$n'('type$',fmb_'F_e_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$n'('type$',fmb_'F_e_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_2,fmb_'F_e_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_2,fmb_'F_e_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_2,fmb_'F_e_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_2,fmb_'F_e_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_3,fmb_'F_e_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_3,fmb_'F_e_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_3,fmb_'F_e_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_3,fmb_'F_e_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_4,fmb_'F_e_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_4,fmb_'F_e_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_4,fmb_'F_e_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$n'(fmb_'D_itself$'_4,fmb_'F_e_prod_update_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_less_eq$c',type,'less_eq$c': 'C_update_set$' * 'C_update_set$' > $o ).
% 48.73/7.41 tff('predicate_less_eq$c',axiom,
% 48.73/7.41 'less_eq$c'('top$b','top$b')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$l',type,'register$l': 'F_update_b_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$l',axiom,
% 48.73/7.41 % 'register$l'(fmb_'F_update_b_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$l'(fmb_'F_update_b_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$l'(fmb_'F_update_b_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$l'(fmb_'F_update_b_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_less_eq$d',type,'less_eq$d': 'B_update_set$' * 'B_update_set$' > $o ).
% 48.73/7.41 tff('predicate_less_eq$d',axiom,
% 48.73/7.41 'less_eq$d'('top$c','top$c')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_less_eq$p',type,'less_eq$p': 'E_f_g_prod_prod_update_set_bool_fun$' * 'E_f_g_prod_prod_update_set_bool_fun$' > $o ).
% 48.73/7.41 tff('predicate_less_eq$p',axiom,
% 48.73/7.41 'less_eq$p'('top$u','top$u')
% 48.73/7.41 & ~'less_eq$p'('top$u',fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$p'('top$u',fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3)
% 48.73/7.41 & ~'less_eq$p'('top$u',fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4)
% 48.73/7.41 & 'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'top$u')
% 48.73/7.41 & 'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3)
% 48.73/7.41 & ~'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4)
% 48.73/7.41 & 'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'top$u')
% 48.73/7.41 & ~'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2)
% 48.73/7.41 & 'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3)
% 48.73/7.41 & ~'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4)
% 48.73/7.41 & 'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'top$u')
% 48.73/7.41 & 'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2)
% 48.73/7.41 & 'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3)
% 48.73/7.41 & 'less_eq$p'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$ae',type,'register$ae': 'A_a_prod_update_f_d_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$ae',axiom,
% 48.73/7.41 % 'register$ae'(fmb_'A_a_prod_update_f_d_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$ae'(fmb_'A_a_prod_update_f_d_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$ae'(fmb_'A_a_prod_update_f_d_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$ae'(fmb_'A_a_prod_update_f_d_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$cf',type,'register$cf': 'B_update_e_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$cf',axiom,
% 48.73/7.41 % 'register$cf'(fmb_'B_update_e_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$cf'(fmb_'B_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$cf'(fmb_'B_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$cf'(fmb_'B_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$v',type,'register$v': 'F_update_e_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$v',axiom,
% 48.73/7.41 % 'register$v'(fmb_'F_update_e_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$v'(fmb_'F_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$v'(fmb_'F_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$v'(fmb_'F_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$bb',type,'register$bb': 'A_update_f_c_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bb',axiom,
% 48.73/7.41 % 'register$bb'(fmb_'A_update_f_c_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$bb'(fmb_'A_update_f_c_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bb'(fmb_'A_update_f_c_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bb'(fmb_'A_update_f_c_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$a',type,'register$a': 'A_update_f_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$a',axiom,
% 48.73/7.41 % 'register$a'(fmb_'A_update_f_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$a'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$a'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$a'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$p',type,'fun_app$p': 'B_c_prod_update_bool_fun$' * 'B_c_prod_update$' > $o ).
% 48.73/7.41 tff('predicate_fun_app$p',axiom,
% 48.73/7.41 'fun_app$p'('uug$','id_update$f')
% 48.73/7.41 & 'fun_app$p'('top$j','id_update$f')
% 48.73/7.41 & 'fun_app$p'('uvs$','id_update$f')
% 48.73/7.41 & 'fun_app$p'(fmb_'B_c_prod_update_bool_fun$'_4,'id_update$f')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$as',type,'fun_app$as': 'C_update_bool_fun$' * 'C_update$' > $o ).
% 48.73/7.41 tff('predicate_fun_app$as',axiom,
% 48.73/7.41 'fun_app$as'('top$r','id_update$e')
% 48.73/7.41 & 'fun_app$as'(fmb_'C_update_bool_fun$'_2,'id_update$e')
% 48.73/7.41 & 'fun_app$as'(fmb_'C_update_bool_fun$'_3,'id_update$e')
% 48.73/7.41 & 'fun_app$as'(fmb_'C_update_bool_fun$'_4,'id_update$e')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_less_eq$n',type,'less_eq$n': 'B_update_bool_fun$' * 'B_update_bool_fun$' > $o ).
% 48.73/7.41 tff('predicate_less_eq$n',axiom,
% 48.73/7.41 'less_eq$n'('top$s','top$s')
% 48.73/7.41 & 'less_eq$n'('top$s',fmb_'B_update_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$n'('top$s',fmb_'B_update_bool_fun$'_3)
% 48.73/7.41 & 'less_eq$n'('top$s',fmb_'B_update_bool_fun$'_4)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_2,'top$s')
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_2,fmb_'B_update_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_2,fmb_'B_update_bool_fun$'_3)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_2,fmb_'B_update_bool_fun$'_4)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_3,'top$s')
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_3,fmb_'B_update_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_3,fmb_'B_update_bool_fun$'_3)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_3,fmb_'B_update_bool_fun$'_4)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_4,'top$s')
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_4,fmb_'B_update_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_4,fmb_'B_update_bool_fun$'_3)
% 48.73/7.41 & ~'less_eq$n'(fmb_'B_update_bool_fun$'_4,fmb_'B_update_bool_fun$'_4)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$at',type,'register$at': 'A_update_d_a_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$at',axiom,
% 48.73/7.41 % 'register$at'(fmb_'A_update_d_a_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$at'(fmb_'A_update_d_a_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$at'(fmb_'A_update_d_a_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$at'(fmb_'A_update_d_a_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$bg',type,'register$bg': 'D_update_e_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bg',axiom,
% 48.73/7.41 % 'register$bg'(fmb_'D_update_e_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$bg'(fmb_'D_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bg'(fmb_'D_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bg'(fmb_'D_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$i',type,'separating$i': 'D_itself$' * 'B_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$i',axiom,
% 48.73/7.41 'separating$i'('type$','top$c')
% 48.73/7.41 % 'separating$i'(fmb_'D_itself$'_2,'top$c') undefined in model
% 48.73/7.41 % 'separating$i'(fmb_'D_itself$'_3,'top$c') undefined in model
% 48.73/7.41 % 'separating$i'(fmb_'D_itself$'_4,'top$c') undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$b',type,'separating$b': 'D_itself$' * 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$b',axiom,
% 48.73/7.41 % 'separating$b'('type$',fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$b'('type$',fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$b'('type$',fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$b'('type$',fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_2,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_3,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_1) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$b'(fmb_'D_itself$'_4,fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_less_eq$b',type,'less_eq$b': 'E_update_set$' * 'E_update_set$' > $o ).
% 48.73/7.41 tff('predicate_less_eq$b',axiom,
% 48.73/7.41 'less_eq$b'('top$a','top$a')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$ca',type,'register$ca': 'F_update_d_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$ca',axiom,
% 48.73/7.41 % 'register$ca'(fmb_'F_update_d_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$ca'(fmb_'F_update_d_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$ca'(fmb_'F_update_d_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$ca'(fmb_'F_update_d_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$bw',type,'register$bw': 'A_a_prod_update_a_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bw',axiom,
% 48.73/7.41 % 'register$bw'(fmb_'A_a_prod_update_a_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$bw'(fmb_'A_a_prod_update_a_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bw'(fmb_'A_a_prod_update_a_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bw'(fmb_'A_a_prod_update_a_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$br',type,'register$br': 'A_a_prod_update_e_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$br',axiom,
% 48.73/7.41 % 'register$br'(fmb_'A_a_prod_update_e_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$br'(fmb_'A_a_prod_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$br'(fmb_'A_a_prod_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$br'(fmb_'A_a_prod_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$au',type,'register$au': 'A_update_c_f_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$au',axiom,
% 48.73/7.41 % 'register$au'(fmb_'A_update_c_f_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$au'(fmb_'A_update_c_f_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$au'(fmb_'A_update_c_f_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$au'(fmb_'A_update_c_f_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$ca',type,'fun_app$ca': 'F_e_prod_update_bool_fun$' * 'F_e_prod_update$' > $o ).
% 48.73/7.41 tff('predicate_fun_app$ca',axiom,
% 48.73/7.41 ~'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_1,fmb_'F_e_prod_update$'_1)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_1,fmb_'F_e_prod_update$'_2)
% 48.73/7.41 & ~'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_1,fmb_'F_e_prod_update$'_3)
% 48.73/7.41 & ~'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_1,fmb_'F_e_prod_update$'_4)
% 48.73/7.41 & ~'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_2,fmb_'F_e_prod_update$'_1)
% 48.73/7.41 & ~'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_2,fmb_'F_e_prod_update$'_2)
% 48.73/7.41 & ~'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_2,fmb_'F_e_prod_update$'_3)
% 48.73/7.41 & ~'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_2,fmb_'F_e_prod_update$'_4)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_3,fmb_'F_e_prod_update$'_1)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_3,fmb_'F_e_prod_update$'_2)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_3,fmb_'F_e_prod_update$'_3)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_3,fmb_'F_e_prod_update$'_4)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_4,fmb_'F_e_prod_update$'_1)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_4,fmb_'F_e_prod_update$'_2)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_4,fmb_'F_e_prod_update$'_3)
% 48.73/7.41 & 'fun_app$ca'(fmb_'F_e_prod_update_bool_fun$'_4,fmb_'F_e_prod_update$'_4)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$o',type,'register$o': 'C_update_g_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$o',axiom,
% 48.73/7.41 % 'register$o'(fmb_'C_update_g_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$o'(fmb_'C_update_g_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$o'(fmb_'C_update_g_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$o'(fmb_'C_update_g_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$bp',type,'register$bp': 'A_update_a_b_c_prod_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bp',axiom,
% 48.73/7.41 % 'register$bp'('uxl$') undefined in model
% 48.73/7.41 % 'register$bp'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bp'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bp'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_less_eq$f',type,'less_eq$f': 'E_f_g_prod_prod_update_set_set$' * 'E_f_g_prod_prod_update_set_set$' > $o ).
% 48.73/7.41 tff('predicate_less_eq$f',axiom,
% 48.73/7.41 'less_eq$f'('top$f','top$f')
% 48.73/7.41 & ~'less_eq$f'('top$f',fmb_'E_f_g_prod_prod_update_set_set$'_2)
% 48.73/7.41 & ~'less_eq$f'('top$f',fmb_'E_f_g_prod_prod_update_set_set$'_3)
% 48.73/7.41 & ~'less_eq$f'('top$f',fmb_'E_f_g_prod_prod_update_set_set$'_4)
% 48.73/7.41 & 'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_2,'top$f')
% 48.73/7.41 & 'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_2)
% 48.73/7.41 & ~'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_3)
% 48.73/7.41 & ~'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_2,fmb_'E_f_g_prod_prod_update_set_set$'_4)
% 48.73/7.41 & 'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_3,'top$f')
% 48.73/7.41 & ~'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_2)
% 48.73/7.41 & 'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_3)
% 48.73/7.41 & ~'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_3,fmb_'E_f_g_prod_prod_update_set_set$'_4)
% 48.73/7.41 & 'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_4,'top$f')
% 48.73/7.41 & 'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_2)
% 48.73/7.41 & 'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_3)
% 48.73/7.41 & 'less_eq$f'(fmb_'E_f_g_prod_prod_update_set_set$'_4,fmb_'E_f_g_prod_prod_update_set_set$'_4)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$af',type,'register$af': 'A_a_prod_update_f_b_prod_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$af',axiom,
% 48.73/7.41 % 'register$af'(fmb_'A_a_prod_update_f_b_prod_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$af'(fmb_'A_a_prod_update_f_b_prod_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$af'(fmb_'A_a_prod_update_f_b_prod_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$af'(fmb_'A_a_prod_update_f_b_prod_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$g',type,'member$g': 'B_update$' * 'B_update_set$' > $o ).
% 48.73/7.41 tff('predicate_member$g',axiom,
% 48.73/7.41 'member$g'('id_update$j','top$c')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_fun_app$k',type,'fun_app$k': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$' > $o ).
% 48.73/7.41 tff('predicate_fun_app$k',axiom,
% 48.73/7.41 'fun_app$k'('uua$',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1)
% 48.73/7.41 & ~'fun_app$k'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1)
% 48.73/7.41 & 'fun_app$k'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1)
% 48.73/7.41 & 'fun_app$k'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_bool_fun$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update$'_1)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$j',type,'register$j': 'F_update_f_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$j',axiom,
% 48.73/7.41 'register$j'(fmb_'F_update_f_update_fun$'_1)
% 48.73/7.41 & ~'register$j'(fmb_'F_update_f_update_fun$'_2)
% 48.73/7.41 & ~'register$j'(fmb_'F_update_f_update_fun$'_3)
% 48.73/7.41 & ~'register$j'(fmb_'F_update_f_update_fun$'_4)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_less_eq$o',type,'less_eq$o': 'A_update_bool_fun$' * 'A_update_bool_fun$' > $o ).
% 48.73/7.41 tff('predicate_less_eq$o',axiom,
% 48.73/7.41 'less_eq$o'('top$t','top$t')
% 48.73/7.41 & ~'less_eq$o'('top$t',fmb_'A_update_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$o'('top$t',fmb_'A_update_bool_fun$'_3)
% 48.73/7.41 & 'less_eq$o'('top$t',fmb_'A_update_bool_fun$'_4)
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_2,'top$t')
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_2,fmb_'A_update_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_2,fmb_'A_update_bool_fun$'_3)
% 48.73/7.41 & 'less_eq$o'(fmb_'A_update_bool_fun$'_2,fmb_'A_update_bool_fun$'_4)
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_3,'top$t')
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_3,fmb_'A_update_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_3,fmb_'A_update_bool_fun$'_3)
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_3,fmb_'A_update_bool_fun$'_4)
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_4,'top$t')
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_4,fmb_'A_update_bool_fun$'_2)
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_4,fmb_'A_update_bool_fun$'_3)
% 48.73/7.41 & ~'less_eq$o'(fmb_'A_update_bool_fun$'_4,fmb_'A_update_bool_fun$'_4)
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_member$d',type,'member$d': 'A_b_c_prod_prod_update$' * 'A_b_c_prod_prod_update_set$' > $o ).
% 48.73/7.41 tff('predicate_member$d',axiom,
% 48.73/7.41 'member$d'('id_update$a','top$k')
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$b',type,'register$b': 'A_update_e_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$b',axiom,
% 48.73/7.41 % 'register$b'(fmb_'A_update_e_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$b'(fmb_'A_update_e_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$b'(fmb_'A_update_e_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$b'(fmb_'A_update_e_update_fun$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_separating$r',type,'separating$r': 'F_g_prod_itself$' * 'F_update_set$' > $o ).
% 48.73/7.41 tff('predicate_separating$r',axiom,
% 48.73/7.41 ~'separating$r'('type$a','top$')
% 48.73/7.41 % 'separating$r'('type$a',fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$r'('type$a',fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$r'('type$a',fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 & ~'separating$r'(fmb_'F_g_prod_itself$'_2,'top$')
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_2,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_2,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_2,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 & ~'separating$r'(fmb_'F_g_prod_itself$'_3,'top$')
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_3,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_3,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_3,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41 & ~'separating$r'(fmb_'F_g_prod_itself$'_4,'top$')
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_4,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_4,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.41 % 'separating$r'(fmb_'F_g_prod_itself$'_4,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.41
% 48.73/7.41 ).
% 48.73/7.41
% 48.73/7.41 tff('declare_register$bf',type,'register$bf': 'E_update_a_update_fun$' > $o ).
% 48.73/7.41 tff('predicate_register$bf',axiom,
% 48.73/7.41 % 'register$bf'(fmb_'E_update_a_update_fun$'_1) undefined in model
% 48.73/7.41 % 'register$bf'(fmb_'E_update_a_update_fun$'_2) undefined in model
% 48.73/7.41 % 'register$bf'(fmb_'E_update_a_update_fun$'_3) undefined in model
% 48.73/7.41 % 'register$bf'(fmb_'E_update_a_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$a',type,'less_eq$a': 'F_update_set$' * 'F_update_set$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$a',axiom,
% 48.73/7.42 % 'less_eq$a'('top$','top$') undefined in model
% 48.73/7.42 % 'less_eq$a'('top$',fmb_'F_update_set$'_2) undefined in model
% 48.73/7.42 % 'less_eq$a'('top$',fmb_'F_update_set$'_3) undefined in model
% 48.73/7.42 % 'less_eq$a'('top$',fmb_'F_update_set$'_4) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_2,'top$') undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_2,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_2,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_2,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_3,'top$') undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_3,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_3,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_3,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_4,'top$') undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_4,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_4,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.42 % 'less_eq$a'(fmb_'F_update_set$'_4,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$r',type,'less_eq$r': 'Bool_set$' * 'Bool_set$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$r',axiom,
% 48.73/7.42 'less_eq$r'(fmb_'Bool_set$'_1,fmb_'Bool_set$'_1)
% 48.73/7.42 & ~'less_eq$r'(fmb_'Bool_set$'_1,fmb_'Bool_set$'_2)
% 48.73/7.42 & 'less_eq$r'(fmb_'Bool_set$'_1,fmb_'Bool_set$'_3)
% 48.73/7.42 & ~'less_eq$r'(fmb_'Bool_set$'_1,fmb_'Bool_set$'_4)
% 48.73/7.42 & ~'less_eq$r'(fmb_'Bool_set$'_2,fmb_'Bool_set$'_1)
% 48.73/7.42 & 'less_eq$r'(fmb_'Bool_set$'_2,fmb_'Bool_set$'_2)
% 48.73/7.42 & 'less_eq$r'(fmb_'Bool_set$'_2,fmb_'Bool_set$'_3)
% 48.73/7.42 & ~'less_eq$r'(fmb_'Bool_set$'_2,fmb_'Bool_set$'_4)
% 48.73/7.42 & ~'less_eq$r'(fmb_'Bool_set$'_3,fmb_'Bool_set$'_1)
% 48.73/7.42 & ~'less_eq$r'(fmb_'Bool_set$'_3,fmb_'Bool_set$'_2)
% 48.73/7.42 & 'less_eq$r'(fmb_'Bool_set$'_3,fmb_'Bool_set$'_3)
% 48.73/7.42 & ~'less_eq$r'(fmb_'Bool_set$'_3,fmb_'Bool_set$'_4)
% 48.73/7.42 & 'less_eq$r'(fmb_'Bool_set$'_4,fmb_'Bool_set$'_1)
% 48.73/7.42 & 'less_eq$r'(fmb_'Bool_set$'_4,fmb_'Bool_set$'_2)
% 48.73/7.42 & 'less_eq$r'(fmb_'Bool_set$'_4,fmb_'Bool_set$'_3)
% 48.73/7.42 & 'less_eq$r'(fmb_'Bool_set$'_4,fmb_'Bool_set$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$cb',type,'fun_app$cb': 'F_c_prod_update_bool_fun$' * 'F_c_prod_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$cb',axiom,
% 48.73/7.42 ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_1,fmb_'F_c_prod_update$'_1)
% 48.73/7.42 & 'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_1,fmb_'F_c_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_1,fmb_'F_c_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_1,fmb_'F_c_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_2,fmb_'F_c_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_2,fmb_'F_c_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_2,fmb_'F_c_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_2,fmb_'F_c_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_3,fmb_'F_c_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_3,fmb_'F_c_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_3,fmb_'F_c_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_3,fmb_'F_c_prod_update$'_4)
% 48.73/7.42 & 'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_4,fmb_'F_c_prod_update$'_1)
% 48.73/7.42 & 'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_4,fmb_'F_c_prod_update$'_2)
% 48.73/7.42 & 'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_4,fmb_'F_c_prod_update$'_3)
% 48.73/7.42 & 'fun_app$cb'(fmb_'F_c_prod_update_bool_fun$'_4,fmb_'F_c_prod_update$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$cc',type,'fun_app$cc': 'F_b_prod_update_bool_fun$' * 'F_b_prod_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$cc',axiom,
% 48.73/7.42 ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_1,fmb_'F_b_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_1,fmb_'F_b_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_1,fmb_'F_b_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_1,fmb_'F_b_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_2,fmb_'F_b_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_2,fmb_'F_b_prod_update$'_2)
% 48.73/7.42 & 'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_2,fmb_'F_b_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_2,fmb_'F_b_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_3,fmb_'F_b_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_3,fmb_'F_b_prod_update$'_2)
% 48.73/7.42 & 'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_3,fmb_'F_b_prod_update$'_3)
% 48.73/7.42 & 'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_3,fmb_'F_b_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_4,fmb_'F_b_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_4,fmb_'F_b_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_4,fmb_'F_b_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cc'(fmb_'F_b_prod_update_bool_fun$'_4,fmb_'F_b_prod_update$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$x',type,'preregister$x': 'C_update_c_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$x',axiom,
% 48.73/7.42 % 'preregister$x'(fmb_'C_update_c_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$x'(fmb_'C_update_c_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$x'(fmb_'C_update_c_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$x'(fmb_'C_update_c_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$f',type,'register$f': 'F_update_f_g_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$f',axiom,
% 48.73/7.42 'register$f'('uxk$')
% 48.73/7.42 & ~'register$f'(fmb_'F_update_f_g_prod_update_fun$'_2)
% 48.73/7.42 & ~'register$f'(fmb_'F_update_f_g_prod_update_fun$'_3)
% 48.73/7.42 & ~'register$f'(fmb_'F_update_f_g_prod_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$a',type,'preregister$a': 'F_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$a',axiom,
% 48.73/7.42 ~'preregister$a'(fmb_'F_update_d_update_fun$'_1)
% 48.73/7.42 & ~'preregister$a'(fmb_'F_update_d_update_fun$'_2)
% 48.73/7.42 & ~'preregister$a'(fmb_'F_update_d_update_fun$'_3)
% 48.73/7.42 & ~'preregister$a'(fmb_'F_update_d_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$at',type,'fun_app$at': 'B_update_bool_fun$' * 'B_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$at',axiom,
% 48.73/7.42 'fun_app$at'('top$s','id_update$j')
% 48.73/7.42 & 'fun_app$at'(fmb_'B_update_bool_fun$'_2,'id_update$j')
% 48.73/7.42 & 'fun_app$at'(fmb_'B_update_bool_fun$'_3,'id_update$j')
% 48.73/7.42 & 'fun_app$at'(fmb_'B_update_bool_fun$'_4,'id_update$j')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bq',type,'register$bq': 'A_a_prod_update_f_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bq',axiom,
% 48.73/7.42 % 'register$bq'(fmb_'A_a_prod_update_f_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bq'(fmb_'A_a_prod_update_f_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bq'(fmb_'A_a_prod_update_f_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bq'(fmb_'A_a_prod_update_f_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$az',type,'register$az': 'A_update_b_d_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$az',axiom,
% 48.73/7.42 % 'register$az'(fmb_'A_update_b_d_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$az'(fmb_'A_update_b_d_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$az'(fmb_'A_update_b_d_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$az'(fmb_'A_update_b_d_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$an',type,'register$an': 'A_update_e_d_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$an',axiom,
% 48.73/7.42 % 'register$an'(fmb_'A_update_e_d_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$an'(fmb_'A_update_e_d_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$an'(fmb_'A_update_e_d_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$an'(fmb_'A_update_e_d_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$au',type,'fun_app$au': 'A_update_bool_fun$' * 'A_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$au',axiom,
% 48.73/7.42 'fun_app$au'('top$t','id_update$h')
% 48.73/7.42 & 'fun_app$au'(fmb_'A_update_bool_fun$'_2,'id_update$h')
% 48.73/7.42 & 'fun_app$au'(fmb_'A_update_bool_fun$'_3,'id_update$h')
% 48.73/7.42 & 'fun_app$au'(fmb_'A_update_bool_fun$'_4,'id_update$h')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$m',type,'preregister$m': 'F_g_prod_update_e_f_g_prod_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$m',axiom,
% 48.73/7.42 % 'preregister$m'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$m'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$m'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$m'(fmb_'F_g_prod_update_e_f_g_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bj',type,'register$bj': 'D_update_b_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bj',axiom,
% 48.73/7.42 % 'register$bj'(fmb_'D_update_b_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bj'(fmb_'D_update_b_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bj'(fmb_'D_update_b_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bj'(fmb_'D_update_b_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ag',type,'register$ag': 'A_a_prod_update_f_a_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ag',axiom,
% 48.73/7.42 % 'register$ag'(fmb_'A_a_prod_update_f_a_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ag'(fmb_'A_a_prod_update_f_a_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ag'(fmb_'A_a_prod_update_f_a_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ag'(fmb_'A_a_prod_update_f_a_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$j',type,'preregister$j': 'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$j',axiom,
% 48.73/7.42 % 'preregister$j'('uxg$') undefined in model
% 48.73/7.42 % 'preregister$j'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$j'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$j'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_member$m',type,'member$m': tlbool * 'Bool_set$' > $o ).
% 48.73/7.42 tff('predicate_member$m',axiom,
% 48.73/7.42 % 'member$m'(tltrue,fmb_'Bool_set$'_1) undefined in model
% 48.73/7.42 % 'member$m'(tltrue,fmb_'Bool_set$'_2) undefined in model
% 48.73/7.42 % 'member$m'(tltrue,fmb_'Bool_set$'_3) undefined in model
% 48.73/7.42 % 'member$m'(tltrue,fmb_'Bool_set$'_4) undefined in model
% 48.73/7.42 % 'member$m'(tlfalse,fmb_'Bool_set$'_1) undefined in model
% 48.73/7.42 % 'member$m'(tlfalse,fmb_'Bool_set$'_2) undefined in model
% 48.73/7.42 % 'member$m'(tlfalse,fmb_'Bool_set$'_3) undefined in model
% 48.73/7.42 % 'member$m'(tlfalse,fmb_'Bool_set$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$h',type,'less_eq$h': 'A_b_c_prod_prod_update_set$' * 'A_b_c_prod_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$h',axiom,
% 48.73/7.42 'less_eq$h'('top$k','top$k')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$h',type,'separating$h': 'D_itself$' * 'G_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$h',axiom,
% 48.73/7.42 % 'separating$h'('type$',fmb_'G_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$h'('type$',fmb_'G_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$h'('type$',fmb_'G_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$h'('type$',fmb_'G_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_2,fmb_'G_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_2,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_2,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_2,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_3,fmb_'G_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_3,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_3,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_3,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_4,fmb_'G_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_4,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_4,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$h'(fmb_'D_itself$'_4,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$l',type,'less_eq$l': 'E_update_bool_fun$' * 'E_update_bool_fun$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$l',axiom,
% 48.73/7.42 'less_eq$l'('top$q','top$q')
% 48.73/7.42 & 'less_eq$l'('top$q',fmb_'E_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$l'('top$q',fmb_'E_update_bool_fun$'_3)
% 48.73/7.42 & ~'less_eq$l'('top$q',fmb_'E_update_bool_fun$'_4)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_2,'top$q')
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_2,fmb_'E_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_2,fmb_'E_update_bool_fun$'_3)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_2,fmb_'E_update_bool_fun$'_4)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_3,'top$q')
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_3,fmb_'E_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_3,fmb_'E_update_bool_fun$'_3)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_3,fmb_'E_update_bool_fun$'_4)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_4,'top$q')
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_4,fmb_'E_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_4,fmb_'E_update_bool_fun$'_3)
% 48.73/7.42 & ~'less_eq$l'(fmb_'E_update_bool_fun$'_4,fmb_'E_update_bool_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$i',type,'less_eq$i': 'F_g_prod_update_set$' * 'F_g_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$i',axiom,
% 48.73/7.42 'less_eq$i'('top$m','top$m')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$g',type,'separating$g': 'D_itself$' * 'F_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$g',axiom,
% 48.73/7.42 'separating$g'('type$','top$')
% 48.73/7.42 % 'separating$g'('type$',fmb_'F_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$g'('type$',fmb_'F_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$g'('type$',fmb_'F_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_2,'top$') undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_2,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_2,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_2,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_3,'top$') undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_3,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_3,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_3,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_4,'top$') undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_4,fmb_'F_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_4,fmb_'F_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$g'(fmb_'D_itself$'_4,fmb_'F_update_set$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$cg',type,'register$cg': 'C_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$cg',axiom,
% 48.73/7.42 % 'register$cg'(fmb_'C_update_d_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$cg'(fmb_'C_update_d_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$cg'(fmb_'C_update_d_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$cg'(fmb_'C_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$x',type,'register$x': 'F_update_a_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$x',axiom,
% 48.73/7.42 % 'register$x'(fmb_'F_update_a_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$x'(fmb_'F_update_a_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$x'(fmb_'F_update_a_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$x'(fmb_'F_update_a_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$s',type,'register$s': 'F_g_prod_update_g_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$s',axiom,
% 48.73/7.42 % 'register$s'(fmb_'F_g_prod_update_g_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$s'(fmb_'F_g_prod_update_g_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$s'(fmb_'F_g_prod_update_g_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$s'(fmb_'F_g_prod_update_g_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$k',type,'separating$k': 'D_itself$' * 'E_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$k',axiom,
% 48.73/7.42 'separating$k'('type$','top$a')
% 48.73/7.42 % 'separating$k'(fmb_'D_itself$'_2,'top$a') undefined in model
% 48.73/7.42 % 'separating$k'(fmb_'D_itself$'_3,'top$a') undefined in model
% 48.73/7.42 % 'separating$k'(fmb_'D_itself$'_4,'top$a') undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$m',type,'register$m': 'G_update_c_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$m',axiom,
% 48.73/7.42 % 'register$m'(fmb_'G_update_c_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$m'(fmb_'G_update_c_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$m'(fmb_'G_update_c_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$m'(fmb_'G_update_c_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$n',type,'register$n': 'B_update_f_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$n',axiom,
% 48.73/7.42 % 'register$n'(fmb_'B_update_f_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$n'(fmb_'B_update_f_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$n'(fmb_'B_update_f_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$n'(fmb_'B_update_f_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$j',type,'less_eq$j': 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$j',axiom,
% 48.73/7.42 'less_eq$j'('top$o','top$o')
% 48.73/7.42 & ~'less_eq$j'('top$o',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2)
% 48.73/7.42 & 'less_eq$j'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2,'top$o')
% 48.73/7.42 & 'less_eq$j'(fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ad',type,'register$ad': 'A_a_prod_update_f_e_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ad',axiom,
% 48.73/7.42 % 'register$ad'(fmb_'A_a_prod_update_f_e_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ad'(fmb_'A_a_prod_update_f_e_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ad'(fmb_'A_a_prod_update_f_e_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ad'(fmb_'A_a_prod_update_f_e_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$a',type,'separating$a': 'D_itself$' * 'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$a',axiom,
% 48.73/7.42 % 'separating$a'('type$','top$o') undefined in model
% 48.73/7.42 % 'separating$a'('type$',fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$a'(fmb_'D_itself$'_2,'top$o') undefined in model
% 48.73/7.42 % 'separating$a'(fmb_'D_itself$'_2,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$a'(fmb_'D_itself$'_3,'top$o') undefined in model
% 48.73/7.42 % 'separating$a'(fmb_'D_itself$'_3,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$a'(fmb_'D_itself$'_4,'top$o') undefined in model
% 48.73/7.42 % 'separating$a'(fmb_'D_itself$'_4,fmb_'E_f_g_prod_prod_e_f_g_prod_prod_prod_update_set$'_2) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bv',type,'register$bv': 'A_a_prod_update_b_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bv',axiom,
% 48.73/7.42 % 'register$bv'(fmb_'A_a_prod_update_b_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bv'(fmb_'A_a_prod_update_b_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bv'(fmb_'A_a_prod_update_b_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bv'(fmb_'A_a_prod_update_b_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_member$a',type,'member$a': 'F_g_prod_update$' * 'F_g_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_member$a',axiom,
% 48.73/7.42 'member$a'('id_update$c','top$m')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$be',type,'register$be': 'E_update_c_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$be',axiom,
% 48.73/7.42 % 'register$be'(fmb_'E_update_c_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$be'(fmb_'E_update_c_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$be'(fmb_'E_update_c_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$be'(fmb_'E_update_c_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ah',type,'register$ah': 'A_a_prod_update_e_f_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ah',axiom,
% 48.73/7.42 % 'register$ah'(fmb_'A_a_prod_update_e_f_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ah'(fmb_'A_a_prod_update_e_f_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ah'(fmb_'A_a_prod_update_e_f_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ah'(fmb_'A_a_prod_update_e_f_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bz',type,'register$bz': 'G_update_e_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bz',axiom,
% 48.73/7.42 % 'register$bz'(fmb_'G_update_e_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bz'(fmb_'G_update_e_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bz'(fmb_'G_update_e_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bz'(fmb_'G_update_e_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$f',type,'separating$f': 'D_itself$' * 'B_c_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$f',axiom,
% 48.73/7.42 % 'separating$f'('type$','top$i') undefined in model
% 48.73/7.42 % 'separating$f'(fmb_'D_itself$'_2,'top$i') undefined in model
% 48.73/7.42 % 'separating$f'(fmb_'D_itself$'_3,'top$i') undefined in model
% 48.73/7.42 % 'separating$f'(fmb_'D_itself$'_4,'top$i') undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$as',type,'register$as': 'A_update_d_b_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$as',axiom,
% 48.73/7.42 % 'register$as'(fmb_'A_update_d_b_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$as'(fmb_'A_update_d_b_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$as'(fmb_'A_update_d_b_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$as'(fmb_'A_update_d_b_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ar',type,'register$ar': 'A_update_d_e_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ar',axiom,
% 48.73/7.42 % 'register$ar'(fmb_'A_update_d_e_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ar'(fmb_'A_update_d_e_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ar'(fmb_'A_update_d_e_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ar'(fmb_'A_update_d_e_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$al',type,'fun_app$al': 'E_f_g_prod_prod_update_set_bool_fun$' * 'E_f_g_prod_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$al',axiom,
% 48.73/7.42 'fun_app$al'('top$u','bot$')
% 48.73/7.42 & 'fun_app$al'('top$u','top$e')
% 48.73/7.42 & ~'fun_app$al'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'bot$')
% 48.73/7.42 & 'fun_app$al'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_2,'top$e')
% 48.73/7.42 & 'fun_app$al'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'bot$')
% 48.73/7.42 & ~'fun_app$al'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_3,'top$e')
% 48.73/7.42 & ~'fun_app$al'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'bot$')
% 48.73/7.42 & ~'fun_app$al'(fmb_'E_f_g_prod_prod_update_set_bool_fun$'_4,'top$e')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$h',type,'preregister$h': 'B_update_b_c_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$h',axiom,
% 48.73/7.42 'preregister$h'('uxm$')
% 48.73/7.42 & ~'preregister$h'(fmb_'B_update_b_c_prod_update_fun$'_2)
% 48.73/7.42 & ~'preregister$h'(fmb_'B_update_b_c_prod_update_fun$'_3)
% 48.73/7.42 & 'preregister$h'(fmb_'B_update_b_c_prod_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$i',type,'preregister$i': 'E_update_e_f_g_prod_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$i',axiom,
% 48.73/7.42 'preregister$i'('uxj$')
% 48.73/7.42 & ~'preregister$i'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_2)
% 48.73/7.42 & ~'preregister$i'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_3)
% 48.73/7.42 & ~'preregister$i'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$v',type,'preregister$v': 'E_update_e_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$v',axiom,
% 48.73/7.42 % 'preregister$v'(fmb_'E_update_e_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$v'(fmb_'E_update_e_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$v'(fmb_'E_update_e_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$v'(fmb_'E_update_e_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$g',type,'preregister$g': 'C_update_b_c_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$g',axiom,
% 48.73/7.42 'preregister$g'(fmb_'C_update_b_c_prod_update_fun$'_1)
% 48.73/7.42 & ~'preregister$g'(fmb_'C_update_b_c_prod_update_fun$'_2)
% 48.73/7.42 & 'preregister$g'(fmb_'C_update_b_c_prod_update_fun$'_3)
% 48.73/7.42 & ~'preregister$g'(fmb_'C_update_b_c_prod_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$e',type,'register$e': 'A_update_a_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$e',axiom,
% 48.73/7.42 % 'register$e'(fmb_'A_update_a_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$e'(fmb_'A_update_a_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$e'(fmb_'A_update_a_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$e'(fmb_'A_update_a_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$m',type,'fun_app$m': 'F_g_prod_update_bool_fun$' * 'F_g_prod_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$m',axiom,
% 48.73/7.42 'fun_app$m'('top$n','id_update$c')
% 48.73/7.42 & 'fun_app$m'('uvu$','id_update$c')
% 48.73/7.42 & 'fun_app$m'(fmb_'F_g_prod_update_bool_fun$'_3,'id_update$c')
% 48.73/7.42 & 'fun_app$m'(fmb_'F_g_prod_update_bool_fun$'_4,'id_update$c')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$u',type,'register$u': 'F_g_prod_update_c_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$u',axiom,
% 48.73/7.42 % 'register$u'(fmb_'F_g_prod_update_c_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$u'(fmb_'F_g_prod_update_c_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$u'(fmb_'F_g_prod_update_c_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$u'(fmb_'F_g_prod_update_c_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$h',type,'register$h': 'B_update_b_c_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$h',axiom,
% 48.73/7.42 'register$h'('uxm$')
% 48.73/7.42 & ~'register$h'(fmb_'B_update_b_c_prod_update_fun$'_2)
% 48.73/7.42 & ~'register$h'(fmb_'B_update_b_c_prod_update_fun$'_3)
% 48.73/7.42 & ~'register$h'(fmb_'B_update_b_c_prod_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$cd',type,'register$cd': 'G_update_b_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$cd',axiom,
% 48.73/7.42 % 'register$cd'(fmb_'G_update_b_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$cd'(fmb_'G_update_b_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$cd'(fmb_'G_update_b_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$cd'(fmb_'G_update_b_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$aw',type,'register$aw': 'A_update_b_e_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$aw',axiom,
% 48.73/7.42 % 'register$aw'(fmb_'A_update_b_e_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$aw'(fmb_'A_update_b_e_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$aw'(fmb_'A_update_b_e_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$aw'(fmb_'A_update_b_e_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$k',type,'less_eq$k': 'E_f_g_prod_prod_update_bool_fun$' * 'E_f_g_prod_prod_update_bool_fun$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$k',axiom,
% 48.73/7.42 'less_eq$k'('uud$','uud$')
% 48.73/7.42 & ~'less_eq$k'('uud$',fmb_'E_f_g_prod_prod_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$k'('uud$','uzx$')
% 48.73/7.42 & 'less_eq$k'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2,'uud$')
% 48.73/7.42 & 'less_eq$k'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$k'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2,'uzx$')
% 48.73/7.42 & 'less_eq$k'('uzx$','uud$')
% 48.73/7.42 & 'less_eq$k'('uzx$',fmb_'E_f_g_prod_prod_update_bool_fun$'_2)
% 48.73/7.42 & 'less_eq$k'('uzx$','uzx$')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$cc',type,'register$cc': 'F_update_c_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$cc',axiom,
% 48.73/7.42 % 'register$cc'(fmb_'F_update_c_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$cc'(fmb_'F_update_c_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$cc'(fmb_'F_update_c_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$cc'(fmb_'F_update_c_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ak',type,'register$ak': 'A_a_prod_update_e_b_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ak',axiom,
% 48.73/7.42 % 'register$ak'(fmb_'A_a_prod_update_e_b_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ak'(fmb_'A_a_prod_update_e_b_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ak'(fmb_'A_a_prod_update_e_b_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ak'(fmb_'A_a_prod_update_e_b_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$c',type,'preregister$c': 'C_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$c',axiom,
% 48.73/7.42 ~'preregister$c'(fmb_'C_update_d_update_fun$'_1)
% 48.73/7.42 & ~'preregister$c'(fmb_'C_update_d_update_fun$'_2)
% 48.73/7.42 & ~'preregister$c'(fmb_'C_update_d_update_fun$'_3)
% 48.73/7.42 & ~'preregister$c'(fmb_'C_update_d_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$l',type,'preregister$l': 'D_update_d_d_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$l',axiom,
% 48.73/7.42 % 'preregister$l'('uxi$') undefined in model
% 48.73/7.42 % 'preregister$l'(fmb_'D_update_d_d_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$l'(fmb_'D_update_d_d_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$l'(fmb_'D_update_d_d_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_member$k',type,'member$k': 'G_update$' * 'G_update_set$' > $o ).
% 48.73/7.42 tff('predicate_member$k',axiom,
% 48.73/7.42 'member$k'('id_update$b',fmb_'G_update_set$'_1)
% 48.73/7.42 % 'member$k'('id_update$b',fmb_'G_update_set$'_2) undefined in model
% 48.73/7.42 % 'member$k'('id_update$b',fmb_'G_update_set$'_3) undefined in model
% 48.73/7.42 % 'member$k'('id_update$b',fmb_'G_update_set$'_4) undefined in model
% 48.73/7.42 & ~'member$k'(fmb_'G_update$'_2,fmb_'G_update_set$'_1)
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_2,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_2,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_2,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.42 & ~'member$k'(fmb_'G_update$'_3,fmb_'G_update_set$'_1)
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_3,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_3,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_3,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.42 & ~'member$k'(fmb_'G_update$'_4,fmb_'G_update_set$'_1)
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_4,fmb_'G_update_set$'_2) undefined in model
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_4,fmb_'G_update_set$'_3) undefined in model
% 48.73/7.42 % 'member$k'(fmb_'G_update$'_4,fmb_'G_update_set$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$t',type,'separating$t': 'B_c_prod_itself$' * 'B_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$t',axiom,
% 48.73/7.42 ~'separating$t'('type$b','top$c')
% 48.73/7.42 & ~'separating$t'(fmb_'B_c_prod_itself$'_2,'top$c')
% 48.73/7.42 & ~'separating$t'(fmb_'B_c_prod_itself$'_3,'top$c')
% 48.73/7.42 & ~'separating$t'(fmb_'B_c_prod_itself$'_4,'top$c')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$e',type,'preregister$e': 'A_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$e',axiom,
% 48.73/7.42 ~'preregister$e'(fmb_'A_update_d_update_fun$'_1)
% 48.73/7.42 & ~'preregister$e'(fmb_'A_update_d_update_fun$'_2)
% 48.73/7.42 & ~'preregister$e'(fmb_'A_update_d_update_fun$'_3)
% 48.73/7.42 & ~'preregister$e'(fmb_'A_update_d_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$f',type,'preregister$f': 'F_update_f_g_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$f',axiom,
% 48.73/7.42 'preregister$f'('uxk$')
% 48.73/7.42 & ~'preregister$f'(fmb_'F_update_f_g_prod_update_fun$'_2)
% 48.73/7.42 & 'preregister$f'(fmb_'F_update_f_g_prod_update_fun$'_3)
% 48.73/7.42 & ~'preregister$f'(fmb_'F_update_f_g_prod_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$al',type,'register$al': 'A_update_e_f_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$al',axiom,
% 48.73/7.42 % 'register$al'(fmb_'A_update_e_f_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$al'(fmb_'A_update_e_f_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$al'(fmb_'A_update_e_f_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$al'(fmb_'A_update_e_f_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$d',type,'separating$d': 'D_itself$' * 'F_g_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$d',axiom,
% 48.73/7.42 'separating$d'('type$','top$m')
% 48.73/7.42 % 'separating$d'(fmb_'D_itself$'_2,'top$m') undefined in model
% 48.73/7.42 % 'separating$d'(fmb_'D_itself$'_3,'top$m') undefined in model
% 48.73/7.42 % 'separating$d'(fmb_'D_itself$'_4,'top$m') undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bh',type,'register$bh': 'D_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bh',axiom,
% 48.73/7.42 % 'register$bh'(fmb_'D_update_d_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bh'(fmb_'D_update_d_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bh'(fmb_'D_update_d_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bh'(fmb_'D_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$m',type,'separating$m': 'D_itself$' * 'F_f_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$m',axiom,
% 48.73/7.42 % 'separating$m'('type$',fmb_'F_f_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$m'('type$',fmb_'F_f_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$m'('type$',fmb_'F_f_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$m'('type$',fmb_'F_f_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_2,fmb_'F_f_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_2,fmb_'F_f_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_2,fmb_'F_f_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_2,fmb_'F_f_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_3,fmb_'F_f_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_3,fmb_'F_f_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_3,fmb_'F_f_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_3,fmb_'F_f_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_4,fmb_'F_f_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_4,fmb_'F_f_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_4,fmb_'F_f_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$m'(fmb_'D_itself$'_4,fmb_'F_f_prod_update_set$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$y',type,'preregister$y': 'B_update_b_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$y',axiom,
% 48.73/7.42 % 'preregister$y'(fmb_'B_update_b_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$y'(fmb_'B_update_b_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$y'(fmb_'B_update_b_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$y'(fmb_'B_update_b_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ap',type,'register$ap': 'A_update_e_a_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ap',axiom,
% 48.73/7.42 % 'register$ap'(fmb_'A_update_e_a_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ap'(fmb_'A_update_e_a_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ap'(fmb_'A_update_e_a_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ap'(fmb_'A_update_e_a_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$g',type,'less_eq$g': 'B_c_prod_update_set$' * 'B_c_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$g',axiom,
% 48.73/7.42 'less_eq$g'('top$i','top$i')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ao',type,'register$ao': 'A_update_e_b_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ao',axiom,
% 48.73/7.42 % 'register$ao'(fmb_'A_update_e_b_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ao'(fmb_'A_update_e_b_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ao'(fmb_'A_update_e_b_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ao'(fmb_'A_update_e_b_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$l',type,'separating$l': 'D_itself$' * 'A_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$l',axiom,
% 48.73/7.42 'separating$l'('type$','top$d')
% 48.73/7.42 % 'separating$l'(fmb_'D_itself$'_2,'top$d') undefined in model
% 48.73/7.42 % 'separating$l'(fmb_'D_itself$'_3,'top$d') undefined in model
% 48.73/7.42 % 'separating$l'(fmb_'D_itself$'_4,'top$d') undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ab',type,'register$ab': 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ab',axiom,
% 48.73/7.42 % 'register$ab'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ab'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ab'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ab'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_d_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$av',type,'register$av': 'A_update_f_e_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$av',axiom,
% 48.73/7.42 % 'register$av'(fmb_'A_update_f_e_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$av'(fmb_'A_update_f_e_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$av'(fmb_'A_update_f_e_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$av'(fmb_'A_update_f_e_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$s',type,'less_eq$s': 'E_f_g_prod_prod_update_bool_fun_set$' * 'E_f_g_prod_prod_update_bool_fun_set$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$s',axiom,
% 48.73/7.42 'less_eq$s'('top$v','top$v')
% 48.73/7.42 & ~'less_eq$s'('top$v',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2)
% 48.73/7.42 & ~'less_eq$s'('top$v',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3)
% 48.73/7.42 & ~'less_eq$s'('top$v',fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4)
% 48.73/7.42 & 'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2,'top$v')
% 48.73/7.42 & 'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2)
% 48.73/7.42 & ~'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3)
% 48.73/7.42 & ~'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4)
% 48.73/7.42 & 'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3,'top$v')
% 48.73/7.42 & 'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2)
% 48.73/7.42 & 'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3)
% 48.73/7.42 & 'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4)
% 48.73/7.42 & 'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4,'top$v')
% 48.73/7.42 & ~'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_2)
% 48.73/7.42 & ~'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_3)
% 48.73/7.42 & 'less_eq$s'(fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4,fmb_'E_f_g_prod_prod_update_bool_fun_set$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_member$i',type,'member$i': 'E_f_g_prod_prod_update_set$' * 'E_f_g_prod_prod_update_set_set$' > $o ).
% 48.73/7.42 tff('predicate_member$i',axiom,
% 48.73/7.42 'member$i'('bot$','top$f')
% 48.73/7.42 & 'member$i'('bot$',fmb_'E_f_g_prod_prod_update_set_set$'_2)
% 48.73/7.42 & ~'member$i'('bot$',fmb_'E_f_g_prod_prod_update_set_set$'_3)
% 48.73/7.42 & 'member$i'('bot$',fmb_'E_f_g_prod_prod_update_set_set$'_4)
% 48.73/7.42 & 'member$i'('top$e','top$f')
% 48.73/7.42 & ~'member$i'('top$e',fmb_'E_f_g_prod_prod_update_set_set$'_2)
% 48.73/7.42 & 'member$i'('top$e',fmb_'E_f_g_prod_prod_update_set_set$'_3)
% 48.73/7.42 & ~'member$i'('top$e',fmb_'E_f_g_prod_prod_update_set_set$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$',type,'preregister$': 'E_f_g_prod_prod_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$',axiom,
% 48.73/7.42 ~'preregister$'(fmb_'E_f_g_prod_prod_update_d_update_fun$'_1)
% 48.73/7.42 & ~'preregister$'(fmb_'E_f_g_prod_prod_update_d_update_fun$'_2)
% 48.73/7.42 & ~'preregister$'(fmb_'E_f_g_prod_prod_update_d_update_fun$'_3)
% 48.73/7.42 & ~'preregister$'(fmb_'E_f_g_prod_prod_update_d_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bx',type,'register$bx': 'B_c_prod_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bx',axiom,
% 48.73/7.42 % 'register$bx'(fmb_'B_c_prod_update_d_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bx'(fmb_'B_c_prod_update_d_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bx'(fmb_'B_c_prod_update_d_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bx'(fmb_'B_c_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$o',type,'preregister$o': 'B_c_prod_update_a_b_c_prod_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$o',axiom,
% 48.73/7.42 % 'preregister$o'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$o'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$o'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$o'(fmb_'B_c_prod_update_a_b_c_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$r',type,'preregister$r': 'A_update_f_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$r',axiom,
% 48.73/7.42 % 'preregister$r'(fmb_'A_update_f_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$r'(fmb_'A_update_f_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$r'(fmb_'A_update_f_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$r'(fmb_'A_update_f_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bs',type,'register$bs': 'A_b_c_prod_prod_a_prod_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bs',axiom,
% 48.73/7.42 % 'register$bs'(fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bs'(fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bs'(fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bs'(fmb_'A_b_c_prod_prod_a_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_member$c',type,'member$c': 'B_c_prod_update$' * 'B_c_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_member$c',axiom,
% 48.73/7.42 'member$c'('id_update$f','top$i')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$s',type,'preregister$s': 'A_update_e_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$s',axiom,
% 48.73/7.42 % 'preregister$s'(fmb_'A_update_e_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$s'(fmb_'A_update_e_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$s'(fmb_'A_update_e_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$s'(fmb_'A_update_e_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$k',type,'register$k': 'G_update_g_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$k',axiom,
% 48.73/7.42 % 'register$k'(fmb_'G_update_g_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$k'(fmb_'G_update_g_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$k'(fmb_'G_update_g_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$k'(fmb_'G_update_g_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$u',type,'preregister$u': 'A_update_a_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$u',axiom,
% 48.73/7.42 % 'preregister$u'(fmb_'A_update_a_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$u'(fmb_'A_update_a_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$u'(fmb_'A_update_a_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$u'(fmb_'A_update_a_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$s',type,'separating$s': 'B_c_prod_itself$' * 'C_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$s',axiom,
% 48.73/7.42 ~'separating$s'('type$b','top$b')
% 48.73/7.42 & ~'separating$s'(fmb_'B_c_prod_itself$'_2,'top$b')
% 48.73/7.42 & ~'separating$s'(fmb_'B_c_prod_itself$'_3,'top$b')
% 48.73/7.42 & ~'separating$s'(fmb_'B_c_prod_itself$'_4,'top$b')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$p',type,'separating$p': 'D_itself$' * 'F_b_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$p',axiom,
% 48.73/7.42 % 'separating$p'('type$',fmb_'F_b_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$p'('type$',fmb_'F_b_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$p'('type$',fmb_'F_b_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$p'('type$',fmb_'F_b_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_2,fmb_'F_b_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_2,fmb_'F_b_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_2,fmb_'F_b_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_2,fmb_'F_b_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_3,fmb_'F_b_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_3,fmb_'F_b_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_3,fmb_'F_b_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_3,fmb_'F_b_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_4,fmb_'F_b_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_4,fmb_'F_b_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_4,fmb_'F_b_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$p'(fmb_'D_itself$'_4,fmb_'F_b_prod_update_set$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$q',type,'less_eq$q': 'Bool_e_f_g_prod_prod_update_set_fun$' * 'Bool_e_f_g_prod_prod_update_set_fun$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$q',axiom,
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_1) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_2) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_3) undefined in model
% 48.73/7.42 % 'less_eq$q'(fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4,fmb_'Bool_e_f_g_prod_prod_update_set_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$n',type,'fun_app$n': 'E_f_g_prod_prod_update_bool_fun$' * 'E_f_g_prod_prod_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$n',axiom,
% 48.73/7.42 'fun_app$n'('uud$','id_update$')
% 48.73/7.42 & 'fun_app$n'(fmb_'E_f_g_prod_prod_update_bool_fun$'_2,'id_update$')
% 48.73/7.42 & ~'fun_app$n'('uzx$','id_update$')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$e',type,'less_eq$e': 'A_update_set$' * 'A_update_set$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$e',axiom,
% 48.73/7.42 'less_eq$e'('top$d','top$d')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$',type,'register$': 'A_b_c_prod_prod_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$',axiom,
% 48.73/7.42 'register$'('g$')
% 48.73/7.42 & 'register$'('f$')
% 48.73/7.42 % 'register$'('g$') undefined in model
% 48.73/7.42 % 'register$'(fmb_'A_b_c_prod_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bm',type,'register$bm': 'D_update_d_d_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bm',axiom,
% 48.73/7.42 % 'register$bm'('uxi$') undefined in model
% 48.73/7.42 % 'register$bm'(fmb_'D_update_d_d_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bm'(fmb_'D_update_d_d_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bm'(fmb_'D_update_d_d_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ba',type,'register$ba': 'A_update_a_d_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ba',axiom,
% 48.73/7.42 % 'register$ba'(fmb_'A_update_a_d_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ba'(fmb_'A_update_a_d_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ba'(fmb_'A_update_a_d_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ba'(fmb_'A_update_a_d_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$q',type,'preregister$q': 'A_b_c_prod_prod_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$q',axiom,
% 48.73/7.42 % 'preregister$q'('g$') undefined in model
% 48.73/7.42 % 'preregister$q'('f$') undefined in model
% 48.73/7.42 % 'preregister$q'('g$') undefined in model
% 48.73/7.42 % 'preregister$q'(fmb_'A_b_c_prod_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$cd',type,'fun_app$cd': 'F_a_prod_update_bool_fun$' * 'F_a_prod_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$cd',axiom,
% 48.73/7.42 ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_1,fmb_'F_a_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_1,fmb_'F_a_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_1,fmb_'F_a_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_1,fmb_'F_a_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_2,fmb_'F_a_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_2,fmb_'F_a_prod_update$'_2)
% 48.73/7.42 & 'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_2,fmb_'F_a_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_2,fmb_'F_a_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_3,fmb_'F_a_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_3,fmb_'F_a_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_3,fmb_'F_a_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_3,fmb_'F_a_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_4,fmb_'F_a_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_4,fmb_'F_a_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_4,fmb_'F_a_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$cd'(fmb_'F_a_prod_update_bool_fun$'_4,fmb_'F_a_prod_update$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$i',type,'register$i': 'E_update_e_f_g_prod_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$i',axiom,
% 48.73/7.42 'register$i'('uxj$')
% 48.73/7.42 & ~'register$i'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_2)
% 48.73/7.42 & ~'register$i'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_3)
% 48.73/7.42 & ~'register$i'(fmb_'E_update_e_f_g_prod_prod_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$y',type,'register$y': 'G_update_b_c_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$y',axiom,
% 48.73/7.42 % 'register$y'(fmb_'G_update_b_c_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$y'(fmb_'G_update_b_c_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$y'(fmb_'G_update_b_c_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$y'(fmb_'G_update_b_c_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$bq',type,'fun_app$bq': 'E_f_g_prod_prod_update_bool_fun_bool_fun$' * 'E_f_g_prod_prod_update_bool_fun$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$bq',axiom,
% 48.73/7.42 ~'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1,'uud$')
% 48.73/7.42 & ~'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1,fmb_'E_f_g_prod_prod_update_bool_fun$'_2)
% 48.73/7.42 & ~'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_1,'uzx$')
% 48.73/7.42 & 'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2,'uud$')
% 48.73/7.42 & 'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2,fmb_'E_f_g_prod_prod_update_bool_fun$'_2)
% 48.73/7.42 & 'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_2,'uzx$')
% 48.73/7.42 & ~'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3,'uud$')
% 48.73/7.42 & ~'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3,fmb_'E_f_g_prod_prod_update_bool_fun$'_2)
% 48.73/7.42 & 'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_3,'uzx$')
% 48.73/7.42 & 'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4,'uud$')
% 48.73/7.42 & 'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4,fmb_'E_f_g_prod_prod_update_bool_fun$'_2)
% 48.73/7.42 & ~'fun_app$bq'(fmb_'E_f_g_prod_prod_update_bool_fun_bool_fun$'_4,'uzx$')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_partial_preordering$',type,'partial_preordering$': 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$' > $o ).
% 48.73/7.42 tff('predicate_partial_preordering$',axiom,
% 48.73/7.42 % 'partial_preordering$'('uxs$') undefined in model
% 48.73/7.42 % 'partial_preordering$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_2) undefined in model
% 48.73/7.42 % 'partial_preordering$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_3) undefined in model
% 48.73/7.42 % 'partial_preordering$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_bool_fun_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bd',type,'register$bd': 'E_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bd',axiom,
% 48.73/7.42 % 'register$bd'(fmb_'E_update_d_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bd'(fmb_'E_update_d_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bd'(fmb_'E_update_d_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bd'(fmb_'E_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$p',type,'preregister$p': 'A_update_a_b_c_prod_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$p',axiom,
% 48.73/7.42 % 'preregister$p'('uxl$') undefined in model
% 48.73/7.42 % 'preregister$p'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$p'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$p'(fmb_'A_update_a_b_c_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$p',type,'register$p': 'B_update_b_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$p',axiom,
% 48.73/7.42 % 'register$p'(fmb_'B_update_b_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$p'(fmb_'B_update_b_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$p'(fmb_'B_update_b_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$p'(fmb_'B_update_b_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_inf$',type,'inf$': 'Bool_set$' > $o ).
% 48.73/7.42 tff('predicate_inf$',axiom,
% 48.73/7.42 ~'inf$'(fmb_'Bool_set$'_1)
% 48.73/7.42 & ~'inf$'(fmb_'Bool_set$'_2)
% 48.73/7.42 & ~'inf$'(fmb_'Bool_set$'_3)
% 48.73/7.42 & ~'inf$'(fmb_'Bool_set$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$q',type,'fun_app$q': 'A_b_c_prod_prod_update_bool_fun$' * 'A_b_c_prod_prod_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$q',axiom,
% 48.73/7.42 'fun_app$q'('top$l','id_update$a')
% 48.73/7.42 & 'fun_app$q'('uvt$','id_update$a')
% 48.73/7.42 & 'fun_app$q'(fmb_'A_b_c_prod_prod_update_bool_fun$'_3,'id_update$a')
% 48.73/7.42 & 'fun_app$q'(fmb_'A_b_c_prod_prod_update_bool_fun$'_4,'id_update$a')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$ar',type,'fun_app$ar': 'E_update_bool_fun$' * 'E_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$ar',axiom,
% 48.73/7.42 'fun_app$ar'('top$q','id_update$g')
% 48.73/7.42 & 'fun_app$ar'(fmb_'E_update_bool_fun$'_2,'id_update$g')
% 48.73/7.42 & 'fun_app$ar'(fmb_'E_update_bool_fun$'_3,'id_update$g')
% 48.73/7.42 & 'fun_app$ar'(fmb_'E_update_bool_fun$'_4,'id_update$g')
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bc',type,'register$bc': 'E_update_e_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bc',axiom,
% 48.73/7.42 % 'register$bc'(fmb_'E_update_e_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bc'(fmb_'E_update_e_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bc'(fmb_'E_update_e_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bc'(fmb_'E_update_e_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bt',type,'register$bt': 'A_a_b_c_prod_prod_prod_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bt',axiom,
% 48.73/7.42 % 'register$bt'(fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bt'(fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bt'(fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bt'(fmb_'A_a_b_c_prod_prod_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$w',type,'register$w': 'G_update_f_g_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$w',axiom,
% 48.73/7.42 % 'register$w'(fmb_'G_update_f_g_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$w'(fmb_'G_update_f_g_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$w'(fmb_'G_update_f_g_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$w'(fmb_'G_update_f_g_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$d',type,'preregister$d': 'B_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$d',axiom,
% 48.73/7.42 ~'preregister$d'(fmb_'B_update_d_update_fun$'_1)
% 48.73/7.42 & ~'preregister$d'(fmb_'B_update_d_update_fun$'_2)
% 48.73/7.42 & ~'preregister$d'(fmb_'B_update_d_update_fun$'_3)
% 48.73/7.42 & ~'preregister$d'(fmb_'B_update_d_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$by',type,'register$by': 'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$by',axiom,
% 48.73/7.42 % 'register$by'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$by'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$by'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$by'(fmb_'A_b_c_prod_prod_a_b_c_prod_prod_prod_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_less_eq$m',type,'less_eq$m': 'C_update_bool_fun$' * 'C_update_bool_fun$' > $o ).
% 48.73/7.42 tff('predicate_less_eq$m',axiom,
% 48.73/7.42 'less_eq$m'('top$r','top$r')
% 48.73/7.42 & ~'less_eq$m'('top$r',fmb_'C_update_bool_fun$'_2)
% 48.73/7.42 & 'less_eq$m'('top$r',fmb_'C_update_bool_fun$'_3)
% 48.73/7.42 & 'less_eq$m'('top$r',fmb_'C_update_bool_fun$'_4)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_2,'top$r')
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_2,fmb_'C_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_2,fmb_'C_update_bool_fun$'_3)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_2,fmb_'C_update_bool_fun$'_4)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_3,'top$r')
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_3,fmb_'C_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_3,fmb_'C_update_bool_fun$'_3)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_3,fmb_'C_update_bool_fun$'_4)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_4,'top$r')
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_4,fmb_'C_update_bool_fun$'_2)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_4,fmb_'C_update_bool_fun$'_3)
% 48.73/7.42 & ~'less_eq$m'(fmb_'C_update_bool_fun$'_4,fmb_'C_update_bool_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$g',type,'register$g': 'C_update_b_c_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$g',axiom,
% 48.73/7.42 'register$g'(fmb_'C_update_b_c_prod_update_fun$'_1)
% 48.73/7.42 & ~'register$g'(fmb_'C_update_b_c_prod_update_fun$'_2)
% 48.73/7.42 & ~'register$g'(fmb_'C_update_b_c_prod_update_fun$'_3)
% 48.73/7.42 & ~'register$g'(fmb_'C_update_b_c_prod_update_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_separating$c',type,'separating$c': 'D_itself$' * 'D_d_prod_update_set$' > $o ).
% 48.73/7.42 tff('predicate_separating$c',axiom,
% 48.73/7.42 % 'separating$c'('type$',fmb_'D_d_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$c'('type$',fmb_'D_d_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$c'('type$',fmb_'D_d_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$c'('type$',fmb_'D_d_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_2,fmb_'D_d_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_2,fmb_'D_d_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_2,fmb_'D_d_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_2,fmb_'D_d_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_3,fmb_'D_d_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_3,fmb_'D_d_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_3,fmb_'D_d_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_3,fmb_'D_d_prod_update_set$'_4) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_4,fmb_'D_d_prod_update_set$'_1) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_4,fmb_'D_d_prod_update_set$'_2) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_4,fmb_'D_d_prod_update_set$'_3) undefined in model
% 48.73/7.42 % 'separating$c'(fmb_'D_itself$'_4,fmb_'D_d_prod_update_set$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_antimono$',type,'antimono$': 'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$' > $o ).
% 48.73/7.42 tff('predicate_antimono$',axiom,
% 48.73/7.42 'antimono$'('uminus$')
% 48.73/7.42 & ~'antimono$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_2)
% 48.73/7.42 & 'antimono$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_3)
% 48.73/7.42 & 'antimono$'(fmb_'E_f_g_prod_prod_update_set_e_f_g_prod_prod_update_set_fun$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bi',type,'register$bi': 'D_update_c_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bi',axiom,
% 48.73/7.42 % 'register$bi'(fmb_'D_update_c_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$bi'(fmb_'D_update_c_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bi'(fmb_'D_update_c_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bi'(fmb_'D_update_c_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ac',type,'register$ac': 'A_a_prod_update_f_f_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ac',axiom,
% 48.73/7.42 % 'register$ac'(fmb_'A_a_prod_update_f_f_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ac'(fmb_'A_a_prod_update_f_f_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ac'(fmb_'A_a_prod_update_f_f_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ac'(fmb_'A_a_prod_update_f_f_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$c',type,'register$c': 'A_update_d_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$c',axiom,
% 48.73/7.42 % 'register$c'(fmb_'A_update_d_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$c'(fmb_'A_update_d_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$c'(fmb_'A_update_d_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$c'(fmb_'A_update_d_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ax',type,'register$ax': 'A_update_a_e_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ax',axiom,
% 48.73/7.42 % 'register$ax'(fmb_'A_update_a_e_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ax'(fmb_'A_update_a_e_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ax'(fmb_'A_update_a_e_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ax'(fmb_'A_update_a_e_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$am',type,'register$am': 'A_update_e_e_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$am',axiom,
% 48.73/7.42 % 'register$am'(fmb_'A_update_e_e_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$am'(fmb_'A_update_e_e_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$am'(fmb_'A_update_e_e_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$am'(fmb_'A_update_e_e_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$d',type,'register$d': 'A_update_b_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$d',axiom,
% 48.73/7.42 % 'register$d'(fmb_'A_update_b_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$d'(fmb_'A_update_b_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$d'(fmb_'A_update_b_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$d'(fmb_'A_update_b_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$ay',type,'register$ay': 'A_update_f_d_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$ay',axiom,
% 48.73/7.42 % 'register$ay'(fmb_'A_update_f_d_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$ay'(fmb_'A_update_f_d_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$ay'(fmb_'A_update_f_d_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$ay'(fmb_'A_update_f_d_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$bk',type,'register$bk': 'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$bk',axiom,
% 48.73/7.42 % 'register$bk'('uxg$') undefined in model
% 48.73/7.42 % 'register$bk'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$bk'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$bk'(fmb_'E_f_g_prod_prod_update_e_f_g_prod_prod_e_f_g_prod_prod_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_register$r',type,'register$r': 'E_update_f_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_register$r',axiom,
% 48.73/7.42 % 'register$r'(fmb_'E_update_f_update_fun$'_1) undefined in model
% 48.73/7.42 % 'register$r'(fmb_'E_update_f_update_fun$'_2) undefined in model
% 48.73/7.42 % 'register$r'(fmb_'E_update_f_update_fun$'_3) undefined in model
% 48.73/7.42 % 'register$r'(fmb_'E_update_f_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_preregister$n',type,'preregister$n': 'G_update_f_g_prod_update_fun$' > $o ).
% 48.73/7.42 tff('predicate_preregister$n',axiom,
% 48.73/7.42 % 'preregister$n'(fmb_'G_update_f_g_prod_update_fun$'_1) undefined in model
% 48.73/7.42 % 'preregister$n'(fmb_'G_update_f_g_prod_update_fun$'_2) undefined in model
% 48.73/7.42 % 'preregister$n'(fmb_'G_update_f_g_prod_update_fun$'_3) undefined in model
% 48.73/7.42 % 'preregister$n'(fmb_'G_update_f_g_prod_update_fun$'_4) undefined in model
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 tff('declare_fun_app$bz',type,'fun_app$bz': 'F_f_prod_update_bool_fun$' * 'F_f_prod_update$' > $o ).
% 48.73/7.42 tff('predicate_fun_app$bz',axiom,
% 48.73/7.42 ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_1,fmb_'F_f_prod_update$'_1)
% 48.73/7.42 & 'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_1,fmb_'F_f_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_1,fmb_'F_f_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_1,fmb_'F_f_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_2,fmb_'F_f_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_2,fmb_'F_f_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_2,fmb_'F_f_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_2,fmb_'F_f_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_3,fmb_'F_f_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_3,fmb_'F_f_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_3,fmb_'F_f_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_3,fmb_'F_f_prod_update$'_4)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_4,fmb_'F_f_prod_update$'_1)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_4,fmb_'F_f_prod_update$'_2)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_4,fmb_'F_f_prod_update$'_3)
% 48.73/7.42 & ~'fun_app$bz'(fmb_'F_f_prod_update_bool_fun$'_4,fmb_'F_f_prod_update$'_4)
% 48.73/7.42
% 48.73/7.42 ).
% 48.73/7.42
% 48.73/7.42 % SZS output end FiniteModel for theBenchmark
% 48.73/7.42 % (29125)------------------------------
% 48.73/7.42 % (29125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 48.73/7.42 % (29125)Termination reason: Satisfiable
% 48.73/7.42
% 48.73/7.42 % (29125)Memory used [KB]: 143520
% 48.73/7.42 % (29125)Time elapsed: 6.957 s
% 48.73/7.42 % (29125)Instructions burned: 22592 (million)
% 48.73/7.42 % (29097)Success in time 6.986 s
%------------------------------------------------------------------------------